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Finding the Third Proportional to 392.13 and 864.88

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Solution

The third proportional to 392.13 and 864.88 is: 1,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.13 : 864.88 = 864.88 : x
  2. Step 2: Convert to fraction form
    392.13/864.88 = 864.88/x
  3. Step 3: Cross multiply
    392.13x = 864.88 × 864.88
  4. Step 4: Simplify right side
    392.13x = 748,008.77
  5. Step 5: Solve for x
    x = 748,008.77/392.13
  6. Step 6: Final answer
    x = 1,907.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.