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Finding the Third Proportional to 402.31 and 853.98

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Solution

The third proportional to 402.31 and 853.98 is: 1,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.31 : 853.98 = 853.98 : x
  2. Step 2: Convert to fraction form
    402.31/853.98 = 853.98/x
  3. Step 3: Cross multiply
    402.31x = 853.98 × 853.98
  4. Step 4: Simplify right side
    402.31x = 729,282.64
  5. Step 5: Solve for x
    x = 729,282.64/402.31
  6. Step 6: Final answer
    x = 1,812.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.