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Finding the Third Proportional to 83,428.26 and 172,770.86

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Solution

The third proportional to 83,428.26 and 172,770.86 is: 357,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,428.26 : 172,770.86 = 172,770.86 : x
  2. Step 2: Convert to fraction form
    83,428.26/172,770.86 = 172,770.86/x
  3. Step 3: Cross multiply
    83,428.26x = 172,770.86 × 172,770.86
  4. Step 4: Simplify right side
    83,428.26x = 29,849,771,536.39
  5. Step 5: Solve for x
    x = 29,849,771,536.39/83,428.26
  6. Step 6: Final answer
    x = 357,789.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.