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Finding the Third Proportional to 90,478 and 125,022

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Solution

The third proportional to 90,478 and 125,022 is: 172,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,478 : 125,022 = 125,022 : x
  2. Step 2: Convert to fraction form
    90,478/125,022 = 125,022/x
  3. Step 3: Cross multiply
    90,478x = 125,022 × 125,022
  4. Step 4: Simplify right side
    90,478x = 15,630,500,484
  5. Step 5: Solve for x
    x = 15,630,500,484/90,478
  6. Step 6: Final answer
    x = 172,754.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.