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Finding the Third Proportional to 332,643 and 731,718

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Solution

The third proportional to 332,643 and 731,718 is: 1,609,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,643 : 731,718 = 731,718 : x
  2. Step 2: Convert to fraction form
    332,643/731,718 = 731,718/x
  3. Step 3: Cross multiply
    332,643x = 731,718 × 731,718
  4. Step 4: Simplify right side
    332,643x = 535,411,231,524
  5. Step 5: Solve for x
    x = 535,411,231,524/332,643
  6. Step 6: Final answer
    x = 1,609,567.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.