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Finding the Third Proportional to 278,167 and 417,063

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Solution

The third proportional to 278,167 and 417,063 is: 625,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,167 : 417,063 = 417,063 : x
  2. Step 2: Convert to fraction form
    278,167/417,063 = 417,063/x
  3. Step 3: Cross multiply
    278,167x = 417,063 × 417,063
  4. Step 4: Simplify right side
    278,167x = 173,941,545,969
  5. Step 5: Solve for x
    x = 173,941,545,969/278,167
  6. Step 6: Final answer
    x = 625,313.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.