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Finding the Third Proportional to 315.66 and 665.81

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Solution

The third proportional to 315.66 and 665.81 is: 1,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.66 : 665.81 = 665.81 : x
  2. Step 2: Convert to fraction form
    315.66/665.81 = 665.81/x
  3. Step 3: Cross multiply
    315.66x = 665.81 × 665.81
  4. Step 4: Simplify right side
    315.66x = 443,306.29
  5. Step 5: Solve for x
    x = 443,306.29/315.66
  6. Step 6: Final answer
    x = 1,404.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.