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Finding the Third Proportional to 127,294 and 279,049

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Solution

The third proportional to 127,294 and 279,049 is: 611,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,294 : 279,049 = 279,049 : x
  2. Step 2: Convert to fraction form
    127,294/279,049 = 279,049/x
  3. Step 3: Cross multiply
    127,294x = 279,049 × 279,049
  4. Step 4: Simplify right side
    127,294x = 77,868,344,401
  5. Step 5: Solve for x
    x = 77,868,344,401/127,294
  6. Step 6: Final answer
    x = 611,720.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.