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Finding the Third Proportional to 84,486 and 126,478

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Solution

The third proportional to 84,486 and 126,478 is: 189,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,486 : 126,478 = 126,478 : x
  2. Step 2: Convert to fraction form
    84,486/126,478 = 126,478/x
  3. Step 3: Cross multiply
    84,486x = 126,478 × 126,478
  4. Step 4: Simplify right side
    84,486x = 15,996,684,484
  5. Step 5: Solve for x
    x = 15,996,684,484/84,486
  6. Step 6: Final answer
    x = 189,341.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.