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Finding the Third Proportional to 392.56 and 621.47

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Solution

The third proportional to 392.56 and 621.47 is: 983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.56 : 621.47 = 621.47 : x
  2. Step 2: Convert to fraction form
    392.56/621.47 = 621.47/x
  3. Step 3: Cross multiply
    392.56x = 621.47 × 621.47
  4. Step 4: Simplify right side
    392.56x = 386,223.41
  5. Step 5: Solve for x
    x = 386,223.41/392.56
  6. Step 6: Final answer
    x = 983.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.