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Finding the Third Proportional to 417,218 and 566,755

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Solution

The third proportional to 417,218 and 566,755 is: 769,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,218 : 566,755 = 566,755 : x
  2. Step 2: Convert to fraction form
    417,218/566,755 = 566,755/x
  3. Step 3: Cross multiply
    417,218x = 566,755 × 566,755
  4. Step 4: Simplify right side
    417,218x = 321,211,230,025
  5. Step 5: Solve for x
    x = 321,211,230,025/417,218
  6. Step 6: Final answer
    x = 769,888.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.