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Finding the Third Proportional to 129,093 and 279,633

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Solution

The third proportional to 129,093 and 279,633 is: 605,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,093 : 279,633 = 279,633 : x
  2. Step 2: Convert to fraction form
    129,093/279,633 = 279,633/x
  3. Step 3: Cross multiply
    129,093x = 279,633 × 279,633
  4. Step 4: Simplify right side
    129,093x = 78,194,614,689
  5. Step 5: Solve for x
    x = 78,194,614,689/129,093
  6. Step 6: Final answer
    x = 605,723.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.