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Finding the Third Proportional to 299,060 and 639,592

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Solution

The third proportional to 299,060 and 639,592 is: 1,367,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,060 : 639,592 = 639,592 : x
  2. Step 2: Convert to fraction form
    299,060/639,592 = 639,592/x
  3. Step 3: Cross multiply
    299,060x = 639,592 × 639,592
  4. Step 4: Simplify right side
    299,060x = 409,077,926,464
  5. Step 5: Solve for x
    x = 409,077,926,464/299,060
  6. Step 6: Final answer
    x = 1,367,879.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.