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Finding the Third Proportional to 312.61 and 663.82

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Solution

The third proportional to 312.61 and 663.82 is: 1,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 663.82 = 663.82 : x
  2. Step 2: Convert to fraction form
    312.61/663.82 = 663.82/x
  3. Step 3: Cross multiply
    312.61x = 663.82 × 663.82
  4. Step 4: Simplify right side
    312.61x = 440,657.41
  5. Step 5: Solve for x
    x = 440,657.41/312.61
  6. Step 6: Final answer
    x = 1,409.61

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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.