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Finding the Third Proportional to 83,128.36 and 172,891.13

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Solution

The third proportional to 83,128.36 and 172,891.13 is: 359,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,128.36 : 172,891.13 = 172,891.13 : x
  2. Step 2: Convert to fraction form
    83,128.36/172,891.13 = 172,891.13/x
  3. Step 3: Cross multiply
    83,128.36x = 172,891.13 × 172,891.13
  4. Step 4: Simplify right side
    83,128.36x = 29,891,341,103.77
  5. Step 5: Solve for x
    x = 29,891,341,103.77/83,128.36
  6. Step 6: Final answer
    x = 359,580.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.