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Finding the Third Proportional to 69,258.38 and 149,110.88

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Solution

The third proportional to 69,258.38 and 149,110.88 is: 321,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,258.38 : 149,110.88 = 149,110.88 : x
  2. Step 2: Convert to fraction form
    69,258.38/149,110.88 = 149,110.88/x
  3. Step 3: Cross multiply
    69,258.38x = 149,110.88 × 149,110.88
  4. Step 4: Simplify right side
    69,258.38x = 22,234,053,043.27
  5. Step 5: Solve for x
    x = 22,234,053,043.27/69,258.38
  6. Step 6: Final answer
    x = 321,030.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.