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Finding the Third Proportional to 677.81 and 1,469.81

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Solution

The third proportional to 677.81 and 1,469.81 is: 3,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 1,469.81 = 1,469.81 : x
  2. Step 2: Convert to fraction form
    677.81/1,469.81 = 1,469.81/x
  3. Step 3: Cross multiply
    677.81x = 1,469.81 × 1,469.81
  4. Step 4: Simplify right side
    677.81x = 2,160,348.79
  5. Step 5: Solve for x
    x = 2,160,348.79/677.81
  6. Step 6: Final answer
    x = 3,187.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.