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Finding the Third Proportional to 81,737 and 172,222

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Solution

The third proportional to 81,737 and 172,222 is: 362,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,737 : 172,222 = 172,222 : x
  2. Step 2: Convert to fraction form
    81,737/172,222 = 172,222/x
  3. Step 3: Cross multiply
    81,737x = 172,222 × 172,222
  4. Step 4: Simplify right side
    81,737x = 29,660,417,284
  5. Step 5: Solve for x
    x = 29,660,417,284/81,737
  6. Step 6: Final answer
    x = 362,876.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.