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Finding the Third Proportional to 131,049 and 279,270

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Solution

The third proportional to 131,049 and 279,270 is: 595,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,049 : 279,270 = 279,270 : x
  2. Step 2: Convert to fraction form
    131,049/279,270 = 279,270/x
  3. Step 3: Cross multiply
    131,049x = 279,270 × 279,270
  4. Step 4: Simplify right side
    131,049x = 77,991,732,900
  5. Step 5: Solve for x
    x = 77,991,732,900/131,049
  6. Step 6: Final answer
    x = 595,134.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.