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Finding the Third Proportional to 81,712 and 124,944

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Solution

The third proportional to 81,712 and 124,944 is: 191,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712 : 124,944 = 124,944 : x
  2. Step 2: Convert to fraction form
    81,712/124,944 = 124,944/x
  3. Step 3: Cross multiply
    81,712x = 124,944 × 124,944
  4. Step 4: Simplify right side
    81,712x = 15,611,003,136
  5. Step 5: Solve for x
    x = 15,611,003,136/81,712
  6. Step 6: Final answer
    x = 191,049.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.