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Finding the Third Proportional to 394,764 and 564,531

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Solution

The third proportional to 394,764 and 564,531 is: 807,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,764 : 564,531 = 564,531 : x
  2. Step 2: Convert to fraction form
    394,764/564,531 = 564,531/x
  3. Step 3: Cross multiply
    394,764x = 564,531 × 564,531
  4. Step 4: Simplify right side
    394,764x = 318,695,249,961
  5. Step 5: Solve for x
    x = 318,695,249,961/394,764
  6. Step 6: Final answer
    x = 807,305.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.