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Finding the Third Proportional to 387,189 and 586,620

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Solution

The third proportional to 387,189 and 586,620 is: 888,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,189 : 586,620 = 586,620 : x
  2. Step 2: Convert to fraction form
    387,189/586,620 = 586,620/x
  3. Step 3: Cross multiply
    387,189x = 586,620 × 586,620
  4. Step 4: Simplify right side
    387,189x = 344,123,024,400
  5. Step 5: Solve for x
    x = 344,123,024,400/387,189
  6. Step 6: Final answer
    x = 888,772.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.