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Finding the Third Proportional to 135,175 and 278,918

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Solution

The third proportional to 135,175 and 278,918 is: 575,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,175 : 278,918 = 278,918 : x
  2. Step 2: Convert to fraction form
    135,175/278,918 = 278,918/x
  3. Step 3: Cross multiply
    135,175x = 278,918 × 278,918
  4. Step 4: Simplify right side
    135,175x = 77,795,250,724
  5. Step 5: Solve for x
    x = 77,795,250,724/135,175
  6. Step 6: Final answer
    x = 575,515.08

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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.