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Finding the Third Proportional to 40,172 and 87,748

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Solution

The third proportional to 40,172 and 87,748 is: 191,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,172 : 87,748 = 87,748 : x
  2. Step 2: Convert to fraction form
    40,172/87,748 = 87,748/x
  3. Step 3: Cross multiply
    40,172x = 87,748 × 87,748
  4. Step 4: Simplify right side
    40,172x = 7,699,711,504
  5. Step 5: Solve for x
    x = 7,699,711,504/40,172
  6. Step 6: Final answer
    x = 191,668.61

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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.