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Finding the Third Proportional to 80,858 and 172,708

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Solution

The third proportional to 80,858 and 172,708 is: 368,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,858 : 172,708 = 172,708 : x
  2. Step 2: Convert to fraction form
    80,858/172,708 = 172,708/x
  3. Step 3: Cross multiply
    80,858x = 172,708 × 172,708
  4. Step 4: Simplify right side
    80,858x = 29,828,053,264
  5. Step 5: Solve for x
    x = 29,828,053,264/80,858
  6. Step 6: Final answer
    x = 368,894.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.