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Finding the Third Proportional to 85,877 and 115,693

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Solution

The third proportional to 85,877 and 115,693 is: 155,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,877 : 115,693 = 115,693 : x
  2. Step 2: Convert to fraction form
    85,877/115,693 = 115,693/x
  3. Step 3: Cross multiply
    85,877x = 115,693 × 115,693
  4. Step 4: Simplify right side
    85,877x = 13,384,870,249
  5. Step 5: Solve for x
    x = 13,384,870,249/85,877
  6. Step 6: Final answer
    x = 155,860.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.