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Finding the Third Proportional to 83,547 and 129,279

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Solution

The third proportional to 83,547 and 129,279 is: 200,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547 : 129,279 = 129,279 : x
  2. Step 2: Convert to fraction form
    83,547/129,279 = 129,279/x
  3. Step 3: Cross multiply
    83,547x = 129,279 × 129,279
  4. Step 4: Simplify right side
    83,547x = 16,713,059,841
  5. Step 5: Solve for x
    x = 16,713,059,841/83,547
  6. Step 6: Final answer
    x = 200,043.81

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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.