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Finding the Third Proportional to 871.38 and 1,221.64

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Solution

The third proportional to 871.38 and 1,221.64 is: 1,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.38 : 1,221.64 = 1,221.64 : x
  2. Step 2: Convert to fraction form
    871.38/1,221.64 = 1,221.64/x
  3. Step 3: Cross multiply
    871.38x = 1,221.64 × 1,221.64
  4. Step 4: Simplify right side
    871.38x = 1,492,415.36
  5. Step 5: Solve for x
    x = 1,492,415.36/871.38
  6. Step 6: Final answer
    x = 1,712.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.