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Finding the Third Proportional to 250,419 and 387,780

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Solution

The third proportional to 250,419 and 387,780 is: 600,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,419 : 387,780 = 387,780 : x
  2. Step 2: Convert to fraction form
    250,419/387,780 = 387,780/x
  3. Step 3: Cross multiply
    250,419x = 387,780 × 387,780
  4. Step 4: Simplify right side
    250,419x = 150,373,328,400
  5. Step 5: Solve for x
    x = 150,373,328,400/250,419
  6. Step 6: Final answer
    x = 600,486.90

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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.