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Finding the Third Proportional to 237.78 and 482.13

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Solution

The third proportional to 237.78 and 482.13 is: 977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 482.13 = 482.13 : x
  2. Step 2: Convert to fraction form
    237.78/482.13 = 482.13/x
  3. Step 3: Cross multiply
    237.78x = 482.13 × 482.13
  4. Step 4: Simplify right side
    237.78x = 232,444.52
  5. Step 5: Solve for x
    x = 232,444.52/237.78
  6. Step 6: Final answer
    x = 977.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.