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Finding the Third Proportional to 81,921.38 and 130,258.13

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Solution

The third proportional to 81,921.38 and 130,258.13 is: 207,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,921.38 : 130,258.13 = 130,258.13 : x
  2. Step 2: Convert to fraction form
    81,921.38/130,258.13 = 130,258.13/x
  3. Step 3: Cross multiply
    81,921.38x = 130,258.13 × 130,258.13
  4. Step 4: Simplify right side
    81,921.38x = 16,967,179,128.52
  5. Step 5: Solve for x
    x = 16,967,179,128.52/81,921.38
  6. Step 6: Final answer
    x = 207,115.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.