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Finding the Third Proportional to 65,108.81 and 138,211.31

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Solution

The third proportional to 65,108.81 and 138,211.31 is: 293,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108.81 : 138,211.31 = 138,211.31 : x
  2. Step 2: Convert to fraction form
    65,108.81/138,211.31 = 138,211.31/x
  3. Step 3: Cross multiply
    65,108.81x = 138,211.31 × 138,211.31
  4. Step 4: Simplify right side
    65,108.81x = 19,102,366,902.97
  5. Step 5: Solve for x
    x = 19,102,366,902.97/65,108.81
  6. Step 6: Final answer
    x = 293,391.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.