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Finding the Third Proportional to 242.50 and 512.38

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Solution

The third proportional to 242.50 and 512.38 is: 1,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.50 : 512.38 = 512.38 : x
  2. Step 2: Convert to fraction form
    242.50/512.38 = 512.38/x
  3. Step 3: Cross multiply
    242.50x = 512.38 × 512.38
  4. Step 4: Simplify right side
    242.50x = 262,528.14
  5. Step 5: Solve for x
    x = 262,528.14/242.50
  6. Step 6: Final answer
    x = 1,082.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.