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Finding the Third Proportional to 278,084,400 and 420,705,744

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Solution

The third proportional to 278,084,400 and 420,705,744 is: 636,473,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,084,400 : 420,705,744 = 420,705,744 : x
  2. Step 2: Convert to fraction form
    278,084,400/420,705,744 = 420,705,744/x
  3. Step 3: Cross multiply
    278,084,400x = 420,705,744 × 420,705,744
  4. Step 4: Simplify right side
    278,084,400x = 176,993,323,034,593,536
  5. Step 5: Solve for x
    x = 176,993,323,034,593,536/278,084,400
  6. Step 6: Final answer
    x = 636,473,398.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.