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Finding the Third Proportional to 315.13 and 462.13

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Solution

The third proportional to 315.13 and 462.13 is: 677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.13 : 462.13 = 462.13 : x
  2. Step 2: Convert to fraction form
    315.13/462.13 = 462.13/x
  3. Step 3: Cross multiply
    315.13x = 462.13 × 462.13
  4. Step 4: Simplify right side
    315.13x = 213,559.52
  5. Step 5: Solve for x
    x = 213,559.52/315.13
  6. Step 6: Final answer
    x = 677.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.