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Finding the Third Proportional to 79,718 and 169,156

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Solution

The third proportional to 79,718 and 169,156 is: 358,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,718 : 169,156 = 169,156 : x
  2. Step 2: Convert to fraction form
    79,718/169,156 = 169,156/x
  3. Step 3: Cross multiply
    79,718x = 169,156 × 169,156
  4. Step 4: Simplify right side
    79,718x = 28,613,752,336
  5. Step 5: Solve for x
    x = 28,613,752,336/79,718
  6. Step 6: Final answer
    x = 358,937.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.