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Finding the Third Proportional to 84,678 and 129,933

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Solution

The third proportional to 84,678 and 129,933 is: 199,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,678 : 129,933 = 129,933 : x
  2. Step 2: Convert to fraction form
    84,678/129,933 = 129,933/x
  3. Step 3: Cross multiply
    84,678x = 129,933 × 129,933
  4. Step 4: Simplify right side
    84,678x = 16,882,584,489
  5. Step 5: Solve for x
    x = 16,882,584,489/84,678
  6. Step 6: Final answer
    x = 199,373.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.