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Finding the Third Proportional to 84,516 and 129,919

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Solution

The third proportional to 84,516 and 129,919 is: 199,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,516 : 129,919 = 129,919 : x
  2. Step 2: Convert to fraction form
    84,516/129,919 = 129,919/x
  3. Step 3: Cross multiply
    84,516x = 129,919 × 129,919
  4. Step 4: Simplify right side
    84,516x = 16,878,946,561
  5. Step 5: Solve for x
    x = 16,878,946,561/84,516
  6. Step 6: Final answer
    x = 199,713.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.