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Finding the Third Proportional to 237.47 and 515.44

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Solution

The third proportional to 237.47 and 515.44 is: 1,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.47 : 515.44 = 515.44 : x
  2. Step 2: Convert to fraction form
    237.47/515.44 = 515.44/x
  3. Step 3: Cross multiply
    237.47x = 515.44 × 515.44
  4. Step 4: Simplify right side
    237.47x = 265,675.82
  5. Step 5: Solve for x
    x = 265,675.82/237.47
  6. Step 6: Final answer
    x = 1,118.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.