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Finding the Third Proportional to 225,086 and 487,540

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Solution

The third proportional to 225,086 and 487,540 is: 1,056,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,086 : 487,540 = 487,540 : x
  2. Step 2: Convert to fraction form
    225,086/487,540 = 487,540/x
  3. Step 3: Cross multiply
    225,086x = 487,540 × 487,540
  4. Step 4: Simplify right side
    225,086x = 237,695,251,600
  5. Step 5: Solve for x
    x = 237,695,251,600/225,086
  6. Step 6: Final answer
    x = 1,056,019.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.