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Finding the Third Proportional to 125,220 and 278,432

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Solution

The third proportional to 125,220 and 278,432 is: 619,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,220 : 278,432 = 278,432 : x
  2. Step 2: Convert to fraction form
    125,220/278,432 = 278,432/x
  3. Step 3: Cross multiply
    125,220x = 278,432 × 278,432
  4. Step 4: Simplify right side
    125,220x = 77,524,378,624
  5. Step 5: Solve for x
    x = 77,524,378,624/125,220
  6. Step 6: Final answer
    x = 619,105.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.