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Finding the Third Proportional to 37,712 and 81,985

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Solution

The third proportional to 37,712 and 81,985 is: 178,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712 : 81,985 = 81,985 : x
  2. Step 2: Convert to fraction form
    37,712/81,985 = 81,985/x
  3. Step 3: Cross multiply
    37,712x = 81,985 × 81,985
  4. Step 4: Simplify right side
    37,712x = 6,721,540,225
  5. Step 5: Solve for x
    x = 6,721,540,225/37,712
  6. Step 6: Final answer
    x = 178,233.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.