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Finding the Third Proportional to 868.06 and 1,851.45

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Solution

The third proportional to 868.06 and 1,851.45 is: 3,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.06 : 1,851.45 = 1,851.45 : x
  2. Step 2: Convert to fraction form
    868.06/1,851.45 = 1,851.45/x
  3. Step 3: Cross multiply
    868.06x = 1,851.45 × 1,851.45
  4. Step 4: Simplify right side
    868.06x = 3,427,871.44
  5. Step 5: Solve for x
    x = 3,427,871.44/868.06
  6. Step 6: Final answer
    x = 3,948.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.