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Finding the Third Proportional to 405,319,735.13 and 821,917,965.38

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Solution

The third proportional to 405,319,735.13 and 821,917,965.38 is: 1,666,706,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,319,735.13 : 821,917,965.38 = 821,917,965.38 : x
  2. Step 2: Convert to fraction form
    405,319,735.13/821,917,965.38 = 821,917,965.38/x
  3. Step 3: Cross multiply
    405,319,735.13x = 821,917,965.38 × 821,917,965.38
  4. Step 4: Simplify right side
    405,319,735.13x = 675,549,141,806,179,712
  5. Step 5: Solve for x
    x = 675,549,141,806,179,712/405,319,735.13
  6. Step 6: Final answer
    x = 1,666,706,758.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.