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Finding the Third Proportional to 83,104.13 and 136,531.13

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Solution

The third proportional to 83,104.13 and 136,531.13 is: 224,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104.13 : 136,531.13 = 136,531.13 : x
  2. Step 2: Convert to fraction form
    83,104.13/136,531.13 = 136,531.13/x
  3. Step 3: Cross multiply
    83,104.13x = 136,531.13 × 136,531.13
  4. Step 4: Simplify right side
    83,104.13x = 18,640,748,093.77
  5. Step 5: Solve for x
    x = 18,640,748,093.77/83,104.13
  6. Step 6: Final answer
    x = 224,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.