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Finding the Third Proportional to 54,117 and 84,915

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Solution

The third proportional to 54,117 and 84,915 is: 133,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,117 : 84,915 = 84,915 : x
  2. Step 2: Convert to fraction form
    54,117/84,915 = 84,915/x
  3. Step 3: Cross multiply
    54,117x = 84,915 × 84,915
  4. Step 4: Simplify right side
    54,117x = 7,210,557,225
  5. Step 5: Solve for x
    x = 7,210,557,225/54,117
  6. Step 6: Final answer
    x = 133,240.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.