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Finding the Third Proportional to 94,476 and 132,098

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Solution

The third proportional to 94,476 and 132,098 is: 184,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,476 : 132,098 = 132,098 : x
  2. Step 2: Convert to fraction form
    94,476/132,098 = 132,098/x
  3. Step 3: Cross multiply
    94,476x = 132,098 × 132,098
  4. Step 4: Simplify right side
    94,476x = 17,449,881,604
  5. Step 5: Solve for x
    x = 17,449,881,604/94,476
  6. Step 6: Final answer
    x = 184,701.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.