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Finding the Third Proportional to 868.75 and 1,861.75

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Solution

The third proportional to 868.75 and 1,861.75 is: 3,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.75 : 1,861.75 = 1,861.75 : x
  2. Step 2: Convert to fraction form
    868.75/1,861.75 = 1,861.75/x
  3. Step 3: Cross multiply
    868.75x = 1,861.75 × 1,861.75
  4. Step 4: Simplify right side
    868.75x = 3,466,113.06
  5. Step 5: Solve for x
    x = 3,466,113.06/868.75
  6. Step 6: Final answer
    x = 3,989.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.