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Finding the Third Proportional to 645.75 and 885.38

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Solution

The third proportional to 645.75 and 885.38 is: 1,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.75 : 885.38 = 885.38 : x
  2. Step 2: Convert to fraction form
    645.75/885.38 = 885.38/x
  3. Step 3: Cross multiply
    645.75x = 885.38 × 885.38
  4. Step 4: Simplify right side
    645.75x = 783,888.89
  5. Step 5: Solve for x
    x = 783,888.89/645.75
  6. Step 6: Final answer
    x = 1,213.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.