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Finding the Third Proportional to 38,689 and 84,759

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Solution

The third proportional to 38,689 and 84,759 is: 185,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,689 : 84,759 = 84,759 : x
  2. Step 2: Convert to fraction form
    38,689/84,759 = 84,759/x
  3. Step 3: Cross multiply
    38,689x = 84,759 × 84,759
  4. Step 4: Simplify right side
    38,689x = 7,184,088,081
  5. Step 5: Solve for x
    x = 7,184,088,081/38,689
  6. Step 6: Final answer
    x = 185,688.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.