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Finding the Third Proportional to 84,008 and 129,979

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Solution

The third proportional to 84,008 and 129,979 is: 201,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008 : 129,979 = 129,979 : x
  2. Step 2: Convert to fraction form
    84,008/129,979 = 129,979/x
  3. Step 3: Cross multiply
    84,008x = 129,979 × 129,979
  4. Step 4: Simplify right side
    84,008x = 16,894,540,441
  5. Step 5: Solve for x
    x = 16,894,540,441/84,008
  6. Step 6: Final answer
    x = 201,106.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.