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Finding the Third Proportional to 499,689 and 656,046

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Solution

The third proportional to 499,689 and 656,046 is: 861,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,689 : 656,046 = 656,046 : x
  2. Step 2: Convert to fraction form
    499,689/656,046 = 656,046/x
  3. Step 3: Cross multiply
    499,689x = 656,046 × 656,046
  4. Step 4: Simplify right side
    499,689x = 430,396,354,116
  5. Step 5: Solve for x
    x = 430,396,354,116/499,689
  6. Step 6: Final answer
    x = 861,328.45

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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.