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Finding the Third Proportional to 85,724 and 126,100

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Solution

The third proportional to 85,724 and 126,100 is: 185,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,724 : 126,100 = 126,100 : x
  2. Step 2: Convert to fraction form
    85,724/126,100 = 126,100/x
  3. Step 3: Cross multiply
    85,724x = 126,100 × 126,100
  4. Step 4: Simplify right side
    85,724x = 15,901,210,000
  5. Step 5: Solve for x
    x = 15,901,210,000/85,724
  6. Step 6: Final answer
    x = 185,493.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.