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Finding the Third Proportional to 250,620 and 387,894

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Solution

The third proportional to 250,620 and 387,894 is: 600,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,620 : 387,894 = 387,894 : x
  2. Step 2: Convert to fraction form
    250,620/387,894 = 387,894/x
  3. Step 3: Cross multiply
    250,620x = 387,894 × 387,894
  4. Step 4: Simplify right side
    250,620x = 150,461,755,236
  5. Step 5: Solve for x
    x = 150,461,755,236/250,620
  6. Step 6: Final answer
    x = 600,358.13

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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.