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Finding the Third Proportional to 308,940 and 477,597

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Solution

The third proportional to 308,940 and 477,597 is: 738,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,940 : 477,597 = 477,597 : x
  2. Step 2: Convert to fraction form
    308,940/477,597 = 477,597/x
  3. Step 3: Cross multiply
    308,940x = 477,597 × 477,597
  4. Step 4: Simplify right side
    308,940x = 228,098,894,409
  5. Step 5: Solve for x
    x = 228,098,894,409/308,940
  6. Step 6: Final answer
    x = 738,327.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.