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Finding the Third Proportional to 250,542 and 387,477

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Solution

The third proportional to 250,542 and 387,477 is: 599,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,542 : 387,477 = 387,477 : x
  2. Step 2: Convert to fraction form
    250,542/387,477 = 387,477/x
  3. Step 3: Cross multiply
    250,542x = 387,477 × 387,477
  4. Step 4: Simplify right side
    250,542x = 150,138,425,529
  5. Step 5: Solve for x
    x = 150,138,425,529/250,542
  6. Step 6: Final answer
    x = 599,254.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.