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Finding the Third Proportional to 517.36 and 1,220.20

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Solution

The third proportional to 517.36 and 1,220.20 is: 2,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.36 : 1,220.20 = 1,220.20 : x
  2. Step 2: Convert to fraction form
    517.36/1,220.20 = 1,220.20/x
  3. Step 3: Cross multiply
    517.36x = 1,220.20 × 1,220.20
  4. Step 4: Simplify right side
    517.36x = 1,488,895.67
  5. Step 5: Solve for x
    x = 1,488,895.67/517.36
  6. Step 6: Final answer
    x = 2,877.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.