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Finding the Third Proportional to 384,142 and 563,755

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Solution

The third proportional to 384,142 and 563,755 is: 827,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,142 : 563,755 = 563,755 : x
  2. Step 2: Convert to fraction form
    384,142/563,755 = 563,755/x
  3. Step 3: Cross multiply
    384,142x = 563,755 × 563,755
  4. Step 4: Simplify right side
    384,142x = 317,819,700,025
  5. Step 5: Solve for x
    x = 317,819,700,025/384,142
  6. Step 6: Final answer
    x = 827,349.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.