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Finding the Third Proportional to 83,334 and 129,069

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Solution

The third proportional to 83,334 and 129,069 is: 199,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,334 : 129,069 = 129,069 : x
  2. Step 2: Convert to fraction form
    83,334/129,069 = 129,069/x
  3. Step 3: Cross multiply
    83,334x = 129,069 × 129,069
  4. Step 4: Simplify right side
    83,334x = 16,658,806,761
  5. Step 5: Solve for x
    x = 16,658,806,761/83,334
  6. Step 6: Final answer
    x = 199,904.08

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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.