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Finding the Third Proportional to 278,249 and 417,432

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Solution

The third proportional to 278,249 and 417,432 is: 626,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,249 : 417,432 = 417,432 : x
  2. Step 2: Convert to fraction form
    278,249/417,432 = 417,432/x
  3. Step 3: Cross multiply
    278,249x = 417,432 × 417,432
  4. Step 4: Simplify right side
    278,249x = 174,249,474,624
  5. Step 5: Solve for x
    x = 174,249,474,624/278,249
  6. Step 6: Final answer
    x = 626,235.76

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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.