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Finding the Third Proportional to 317,522 and 437,403

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Solution

The third proportional to 317,522 and 437,403 is: 602,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,522 : 437,403 = 437,403 : x
  2. Step 2: Convert to fraction form
    317,522/437,403 = 437,403/x
  3. Step 3: Cross multiply
    317,522x = 437,403 × 437,403
  4. Step 4: Simplify right side
    317,522x = 191,321,384,409
  5. Step 5: Solve for x
    x = 191,321,384,409/317,522
  6. Step 6: Final answer
    x = 602,545.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.