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Finding the Third Proportional to 874.97 and 1,777.78

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Solution

The third proportional to 874.97 and 1,777.78 is: 3,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.97 : 1,777.78 = 1,777.78 : x
  2. Step 2: Convert to fraction form
    874.97/1,777.78 = 1,777.78/x
  3. Step 3: Cross multiply
    874.97x = 1,777.78 × 1,777.78
  4. Step 4: Simplify right side
    874.97x = 3,160,506.17
  5. Step 5: Solve for x
    x = 3,160,506.17/874.97
  6. Step 6: Final answer
    x = 3,612.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.