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Finding the Third Proportional to 871.88 and 1,309.69

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Solution

The third proportional to 871.88 and 1,309.69 is: 1,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.88 : 1,309.69 = 1,309.69 : x
  2. Step 2: Convert to fraction form
    871.88/1,309.69 = 1,309.69/x
  3. Step 3: Cross multiply
    871.88x = 1,309.69 × 1,309.69
  4. Step 4: Simplify right side
    871.88x = 1,715,281.35
  5. Step 5: Solve for x
    x = 1,715,281.35/871.88
  6. Step 6: Final answer
    x = 1,967.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.