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Finding the Third Proportional to 378.74 and 511.47

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Solution

The third proportional to 378.74 and 511.47 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 511.47 = 511.47 : x
  2. Step 2: Convert to fraction form
    378.74/511.47 = 511.47/x
  3. Step 3: Cross multiply
    378.74x = 511.47 × 511.47
  4. Step 4: Simplify right side
    378.74x = 261,602.28
  5. Step 5: Solve for x
    x = 261,602.28/378.74
  6. Step 6: Final answer
    x = 690.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.