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Finding the Third Proportional to 129,975 and 279,289

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Solution

The third proportional to 129,975 and 279,289 is: 600,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,975 : 279,289 = 279,289 : x
  2. Step 2: Convert to fraction form
    129,975/279,289 = 279,289/x
  3. Step 3: Cross multiply
    129,975x = 279,289 × 279,289
  4. Step 4: Simplify right side
    129,975x = 78,002,345,521
  5. Step 5: Solve for x
    x = 78,002,345,521/129,975
  6. Step 6: Final answer
    x = 600,133.45

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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.