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Finding the Third Proportional to 869.17 and 1,885.78

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Solution

The third proportional to 869.17 and 1,885.78 is: 4,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.17 : 1,885.78 = 1,885.78 : x
  2. Step 2: Convert to fraction form
    869.17/1,885.78 = 1,885.78/x
  3. Step 3: Cross multiply
    869.17x = 1,885.78 × 1,885.78
  4. Step 4: Simplify right side
    869.17x = 3,556,170.92
  5. Step 5: Solve for x
    x = 3,556,170.92/869.17
  6. Step 6: Final answer
    x = 4,091.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.