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Finding the Third Proportional to 53,877 and 85,269

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Solution

The third proportional to 53,877 and 85,269 is: 134,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,877 : 85,269 = 85,269 : x
  2. Step 2: Convert to fraction form
    53,877/85,269 = 85,269/x
  3. Step 3: Cross multiply
    53,877x = 85,269 × 85,269
  4. Step 4: Simplify right side
    53,877x = 7,270,802,361
  5. Step 5: Solve for x
    x = 7,270,802,361/53,877
  6. Step 6: Final answer
    x = 134,951.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.