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Finding the Third Proportional to 89,520 and 121,134

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Solution

The third proportional to 89,520 and 121,134 is: 163,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,520 : 121,134 = 121,134 : x
  2. Step 2: Convert to fraction form
    89,520/121,134 = 121,134/x
  3. Step 3: Cross multiply
    89,520x = 121,134 × 121,134
  4. Step 4: Simplify right side
    89,520x = 14,673,445,956
  5. Step 5: Solve for x
    x = 14,673,445,956/89,520
  6. Step 6: Final answer
    x = 163,912.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.