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Finding the Third Proportional to 863.86 and 1,312.03

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Solution

The third proportional to 863.86 and 1,312.03 is: 1,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,312.03 = 1,312.03 : x
  2. Step 2: Convert to fraction form
    863.86/1,312.03 = 1,312.03/x
  3. Step 3: Cross multiply
    863.86x = 1,312.03 × 1,312.03
  4. Step 4: Simplify right side
    863.86x = 1,721,426.00
  5. Step 5: Solve for x
    x = 1,721,426.00/863.86
  6. Step 6: Final answer
    x = 1,992.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.