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Finding the Third Proportional to 65,640.38 and 143,161.17

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Solution

The third proportional to 65,640.38 and 143,161.17 is: 312,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,640.38 : 143,161.17 = 143,161.17 : x
  2. Step 2: Convert to fraction form
    65,640.38/143,161.17 = 143,161.17/x
  3. Step 3: Cross multiply
    65,640.38x = 143,161.17 × 143,161.17
  4. Step 4: Simplify right side
    65,640.38x = 20,495,121,132.62
  5. Step 5: Solve for x
    x = 20,495,121,132.62/65,640.38
  6. Step 6: Final answer
    x = 312,233.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.