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Finding the Third Proportional to 126,869.25 and 178,501.50

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Solution

The third proportional to 126,869.25 and 178,501.50 is: 251,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,869.25 : 178,501.50 = 178,501.50 : x
  2. Step 2: Convert to fraction form
    126,869.25/178,501.50 = 178,501.50/x
  3. Step 3: Cross multiply
    126,869.25x = 178,501.50 × 178,501.50
  4. Step 4: Simplify right side
    126,869.25x = 31,862,785,502.25
  5. Step 5: Solve for x
    x = 31,862,785,502.25/126,869.25
  6. Step 6: Final answer
    x = 251,146.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.