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Finding the Third Proportional to 130,002.75 and 279,405

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Solution

The third proportional to 130,002.75 and 279,405 is: 600,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,002.75 : 279,405 = 279,405 : x
  2. Step 2: Convert to fraction form
    130,002.75/279,405 = 279,405/x
  3. Step 3: Cross multiply
    130,002.75x = 279,405 × 279,405
  4. Step 4: Simplify right side
    130,002.75x = 78,067,154,025
  5. Step 5: Solve for x
    x = 78,067,154,025/130,002.75
  6. Step 6: Final answer
    x = 600,503.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.