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Finding the Third Proportional to 278,887 and 418,967

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Solution

The third proportional to 278,887 and 418,967 is: 629,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,887 : 418,967 = 418,967 : x
  2. Step 2: Convert to fraction form
    278,887/418,967 = 418,967/x
  3. Step 3: Cross multiply
    278,887x = 418,967 × 418,967
  4. Step 4: Simplify right side
    278,887x = 175,533,347,089
  5. Step 5: Solve for x
    x = 175,533,347,089/278,887
  6. Step 6: Final answer
    x = 629,406.70

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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.