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Finding the Third Proportional to 499,680 and 656,038

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Solution

The third proportional to 499,680 and 656,038 is: 861,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,680 : 656,038 = 656,038 : x
  2. Step 2: Convert to fraction form
    499,680/656,038 = 656,038/x
  3. Step 3: Cross multiply
    499,680x = 656,038 × 656,038
  4. Step 4: Simplify right side
    499,680x = 430,385,857,444
  5. Step 5: Solve for x
    x = 430,385,857,444/499,680
  6. Step 6: Final answer
    x = 861,322.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.