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Finding the Third Proportional to 54,135 and 84,942

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Solution

The third proportional to 54,135 and 84,942 is: 133,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,135 : 84,942 = 84,942 : x
  2. Step 2: Convert to fraction form
    54,135/84,942 = 84,942/x
  3. Step 3: Cross multiply
    54,135x = 84,942 × 84,942
  4. Step 4: Simplify right side
    54,135x = 7,215,143,364
  5. Step 5: Solve for x
    x = 7,215,143,364/54,135
  6. Step 6: Final answer
    x = 133,280.56

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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.