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Finding the Third Proportional to 817,633,490,546 and 1,779,242,109,376

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Solution

The third proportional to 817,633,490,546 and 1,779,242,109,376 is: 3,871,786,711,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,633,490,546 : 1,779,242,109,376 = 1,779,242,109,376 : x
  2. Step 2: Convert to fraction form
    817,633,490,546/1,779,242,109,376 = 1,779,242,109,376/x
  3. Step 3: Cross multiply
    817,633,490,546x = 1,779,242,109,376 × 1,779,242,109,376
  4. Step 4: Simplify right side
    817,633,490,546x = 3,165,702,483,776,758,142,205,952
  5. Step 5: Solve for x
    x = 3,165,702,483,776,758,142,205,952/817,633,490,546
  6. Step 6: Final answer
    x = 3,871,786,711,748.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.