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Finding the Third Proportional to 366.71 and 521.28

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Solution

The third proportional to 366.71 and 521.28 is: 740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.71 : 521.28 = 521.28 : x
  2. Step 2: Convert to fraction form
    366.71/521.28 = 521.28/x
  3. Step 3: Cross multiply
    366.71x = 521.28 × 521.28
  4. Step 4: Simplify right side
    366.71x = 271,732.11
  5. Step 5: Solve for x
    x = 271,732.11/366.71
  6. Step 6: Final answer
    x = 740.99

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.