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Finding the Third Proportional to 141,213.75 and 215,128.13

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Solution

The third proportional to 141,213.75 and 215,128.13 is: 327,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,213.75 : 215,128.13 = 215,128.13 : x
  2. Step 2: Convert to fraction form
    141,213.75/215,128.13 = 215,128.13/x
  3. Step 3: Cross multiply
    141,213.75x = 215,128.13 × 215,128.13
  4. Step 4: Simplify right side
    141,213.75x = 46,280,110,166.02
  5. Step 5: Solve for x
    x = 46,280,110,166.02/141,213.75
  6. Step 6: Final answer
    x = 327,730.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.