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Finding the Third Proportional to 81,498 and 172,808

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Solution

The third proportional to 81,498 and 172,808 is: 366,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498 : 172,808 = 172,808 : x
  2. Step 2: Convert to fraction form
    81,498/172,808 = 172,808/x
  3. Step 3: Cross multiply
    81,498x = 172,808 × 172,808
  4. Step 4: Simplify right side
    81,498x = 29,862,604,864
  5. Step 5: Solve for x
    x = 29,862,604,864/81,498
  6. Step 6: Final answer
    x = 366,421.32

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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.