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Finding the Third Proportional to 653.38 and 886.41

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Solution

The third proportional to 653.38 and 886.41 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.38 : 886.41 = 886.41 : x
  2. Step 2: Convert to fraction form
    653.38/886.41 = 886.41/x
  3. Step 3: Cross multiply
    653.38x = 886.41 × 886.41
  4. Step 4: Simplify right side
    653.38x = 785,726.43
  5. Step 5: Solve for x
    x = 785,726.43/653.38
  6. Step 6: Final answer
    x = 1,202.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.