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Finding the Third Proportional to 417,978 and 609,471

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Solution

The third proportional to 417,978 and 609,471 is: 888,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,978 : 609,471 = 609,471 : x
  2. Step 2: Convert to fraction form
    417,978/609,471 = 609,471/x
  3. Step 3: Cross multiply
    417,978x = 609,471 × 609,471
  4. Step 4: Simplify right side
    417,978x = 371,454,899,841
  5. Step 5: Solve for x
    x = 371,454,899,841/417,978
  6. Step 6: Final answer
    x = 888,694.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.