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Finding the Third Proportional to 486,300 and 781,344

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Solution

The third proportional to 486,300 and 781,344 is: 1,255,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,300 : 781,344 = 781,344 : x
  2. Step 2: Convert to fraction form
    486,300/781,344 = 781,344/x
  3. Step 3: Cross multiply
    486,300x = 781,344 × 781,344
  4. Step 4: Simplify right side
    486,300x = 610,498,446,336
  5. Step 5: Solve for x
    x = 610,498,446,336/486,300
  6. Step 6: Final answer
    x = 1,255,394.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.