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Finding the Third Proportional to 868.64 and 1,343.88

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Solution

The third proportional to 868.64 and 1,343.88 is: 2,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.64 : 1,343.88 = 1,343.88 : x
  2. Step 2: Convert to fraction form
    868.64/1,343.88 = 1,343.88/x
  3. Step 3: Cross multiply
    868.64x = 1,343.88 × 1,343.88
  4. Step 4: Simplify right side
    868.64x = 1,806,021.01
  5. Step 5: Solve for x
    x = 1,806,021.01/868.64
  6. Step 6: Final answer
    x = 2,079.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.