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Finding the Third Proportional to 318.94 and 469.71

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Solution

The third proportional to 318.94 and 469.71 is: 691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.94 : 469.71 = 469.71 : x
  2. Step 2: Convert to fraction form
    318.94/469.71 = 469.71/x
  3. Step 3: Cross multiply
    318.94x = 469.71 × 469.71
  4. Step 4: Simplify right side
    318.94x = 220,622.86
  5. Step 5: Solve for x
    x = 220,622.86/318.94
  6. Step 6: Final answer
    x = 691.74

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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.