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Finding the Third Proportional to 545,643 and 1,190,403

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Solution

The third proportional to 545,643 and 1,190,403 is: 2,597,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,643 : 1,190,403 = 1,190,403 : x
  2. Step 2: Convert to fraction form
    545,643/1,190,403 = 1,190,403/x
  3. Step 3: Cross multiply
    545,643x = 1,190,403 × 1,190,403
  4. Step 4: Simplify right side
    545,643x = 1,417,059,302,409
  5. Step 5: Solve for x
    x = 1,417,059,302,409/545,643
  6. Step 6: Final answer
    x = 2,597,044.78

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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.