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Finding the Third Proportional to 129,069.70 and 279,586.69

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Solution

The third proportional to 129,069.70 and 279,586.69 is: 605,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,069.70 : 279,586.69 = 279,586.69 : x
  2. Step 2: Convert to fraction form
    129,069.70/279,586.69 = 279,586.69/x
  3. Step 3: Cross multiply
    129,069.70x = 279,586.69 × 279,586.69
  4. Step 4: Simplify right side
    129,069.70x = 78,168,715,827.22
  5. Step 5: Solve for x
    x = 78,168,715,827.22/129,069.70
  6. Step 6: Final answer
    x = 605,631.79

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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.