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Finding the Third Proportional to 316.69 and 665.34

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Solution

The third proportional to 316.69 and 665.34 is: 1,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.69 : 665.34 = 665.34 : x
  2. Step 2: Convert to fraction form
    316.69/665.34 = 665.34/x
  3. Step 3: Cross multiply
    316.69x = 665.34 × 665.34
  4. Step 4: Simplify right side
    316.69x = 442,682.31
  5. Step 5: Solve for x
    x = 442,682.31/316.69
  6. Step 6: Final answer
    x = 1,397.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.