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Finding the Third Proportional to 316.13 and 469.69

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Solution

The third proportional to 316.13 and 469.69 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 469.69 = 469.69 : x
  2. Step 2: Convert to fraction form
    316.13/469.69 = 469.69/x
  3. Step 3: Cross multiply
    316.13x = 469.69 × 469.69
  4. Step 4: Simplify right side
    316.13x = 220,606.35
  5. Step 5: Solve for x
    x = 220,606.35/316.13
  6. Step 6: Final answer
    x = 697.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.