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Finding the Third Proportional to 129,098 and 279,642

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Solution

The third proportional to 129,098 and 279,642 is: 605,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,098 : 279,642 = 279,642 : x
  2. Step 2: Convert to fraction form
    129,098/279,642 = 279,642/x
  3. Step 3: Cross multiply
    129,098x = 279,642 × 279,642
  4. Step 4: Simplify right side
    129,098x = 78,199,648,164
  5. Step 5: Solve for x
    x = 78,199,648,164/129,098
  6. Step 6: Final answer
    x = 605,738.65

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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.