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Finding the Third Proportional to 54,129.50 and 81,113

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Solution

The third proportional to 54,129.50 and 81,113 is: 121,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,129.50 : 81,113 = 81,113 : x
  2. Step 2: Convert to fraction form
    54,129.50/81,113 = 81,113/x
  3. Step 3: Cross multiply
    54,129.50x = 81,113 × 81,113
  4. Step 4: Simplify right side
    54,129.50x = 6,579,318,769
  5. Step 5: Solve for x
    x = 6,579,318,769/54,129.50
  6. Step 6: Final answer
    x = 121,547.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.