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Finding the Third Proportional to 81,175 and 110,581

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Solution

The third proportional to 81,175 and 110,581 is: 150,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,175 : 110,581 = 110,581 : x
  2. Step 2: Convert to fraction form
    81,175/110,581 = 110,581/x
  3. Step 3: Cross multiply
    81,175x = 110,581 × 110,581
  4. Step 4: Simplify right side
    81,175x = 12,228,157,561
  5. Step 5: Solve for x
    x = 12,228,157,561/81,175
  6. Step 6: Final answer
    x = 150,639.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.