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Finding the Third Proportional to 437,418 and 685,287

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Solution

The third proportional to 437,418 and 685,287 is: 1,073,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,418 : 685,287 = 685,287 : x
  2. Step 2: Convert to fraction form
    437,418/685,287 = 685,287/x
  3. Step 3: Cross multiply
    437,418x = 685,287 × 685,287
  4. Step 4: Simplify right side
    437,418x = 469,618,272,369
  5. Step 5: Solve for x
    x = 469,618,272,369/437,418
  6. Step 6: Final answer
    x = 1,073,614.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.