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Finding the Third Proportional to 135,179 and 278,926

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Solution

The third proportional to 135,179 and 278,926 is: 575,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,179 : 278,926 = 278,926 : x
  2. Step 2: Convert to fraction form
    135,179/278,926 = 278,926/x
  3. Step 3: Cross multiply
    135,179x = 278,926 × 278,926
  4. Step 4: Simplify right side
    135,179x = 77,799,713,476
  5. Step 5: Solve for x
    x = 77,799,713,476/135,179
  6. Step 6: Final answer
    x = 575,531.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.