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Finding the Third Proportional to 407.21 and 871.38

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Solution

The third proportional to 407.21 and 871.38 is: 1,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.21 : 871.38 = 871.38 : x
  2. Step 2: Convert to fraction form
    407.21/871.38 = 871.38/x
  3. Step 3: Cross multiply
    407.21x = 871.38 × 871.38
  4. Step 4: Simplify right side
    407.21x = 759,308.01
  5. Step 5: Solve for x
    x = 759,308.01/407.21
  6. Step 6: Final answer
    x = 1,864.64

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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.