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Finding the Third Proportional to 877.75 and 1,369.25

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Solution

The third proportional to 877.75 and 1,369.25 is: 2,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.75 : 1,369.25 = 1,369.25 : x
  2. Step 2: Convert to fraction form
    877.75/1,369.25 = 1,369.25/x
  3. Step 3: Cross multiply
    877.75x = 1,369.25 × 1,369.25
  4. Step 4: Simplify right side
    877.75x = 1,874,845.56
  5. Step 5: Solve for x
    x = 1,874,845.56/877.75
  6. Step 6: Final answer
    x = 2,135.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.