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Finding the Third Proportional to 135,012 and 216,918

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Solution

The third proportional to 135,012 and 216,918 is: 348,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,012 : 216,918 = 216,918 : x
  2. Step 2: Convert to fraction form
    135,012/216,918 = 216,918/x
  3. Step 3: Cross multiply
    135,012x = 216,918 × 216,918
  4. Step 4: Simplify right side
    135,012x = 47,053,418,724
  5. Step 5: Solve for x
    x = 47,053,418,724/135,012
  6. Step 6: Final answer
    x = 348,512.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.