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Finding the Third Proportional to 83,547 and 129,278

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Solution

The third proportional to 83,547 and 129,278 is: 200,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547 : 129,278 = 129,278 : x
  2. Step 2: Convert to fraction form
    83,547/129,278 = 129,278/x
  3. Step 3: Cross multiply
    83,547x = 129,278 × 129,278
  4. Step 4: Simplify right side
    83,547x = 16,712,801,284
  5. Step 5: Solve for x
    x = 16,712,801,284/83,547
  6. Step 6: Final answer
    x = 200,040.71

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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.