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Finding the Third Proportional to 54,142.50 and 84,159

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Solution

The third proportional to 54,142.50 and 84,159 is: 130,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142.50 : 84,159 = 84,159 : x
  2. Step 2: Convert to fraction form
    54,142.50/84,159 = 84,159/x
  3. Step 3: Cross multiply
    54,142.50x = 84,159 × 84,159
  4. Step 4: Simplify right side
    54,142.50x = 7,082,737,281
  5. Step 5: Solve for x
    x = 7,082,737,281/54,142.50
  6. Step 6: Final answer
    x = 130,816.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.