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Finding the Third Proportional to 498,488 and 753,680

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Solution

The third proportional to 498,488 and 753,680 is: 1,139,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,488 : 753,680 = 753,680 : x
  2. Step 2: Convert to fraction form
    498,488/753,680 = 753,680/x
  3. Step 3: Cross multiply
    498,488x = 753,680 × 753,680
  4. Step 4: Simplify right side
    498,488x = 568,033,542,400
  5. Step 5: Solve for x
    x = 568,033,542,400/498,488
  6. Step 6: Final answer
    x = 1,139,512.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.