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Finding the Third Proportional to 863.81 and 1,289.81

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Solution

The third proportional to 863.81 and 1,289.81 is: 1,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.81 : 1,289.81 = 1,289.81 : x
  2. Step 2: Convert to fraction form
    863.81/1,289.81 = 1,289.81/x
  3. Step 3: Cross multiply
    863.81x = 1,289.81 × 1,289.81
  4. Step 4: Simplify right side
    863.81x = 1,663,616.29
  5. Step 5: Solve for x
    x = 1,663,616.29/863.81
  6. Step 6: Final answer
    x = 1,925.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.