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Finding the Third Proportional to 645.79 and 1,406.85

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Solution

The third proportional to 645.79 and 1,406.85 is: 3,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.79 : 1,406.85 = 1,406.85 : x
  2. Step 2: Convert to fraction form
    645.79/1,406.85 = 1,406.85/x
  3. Step 3: Cross multiply
    645.79x = 1,406.85 × 1,406.85
  4. Step 4: Simplify right side
    645.79x = 1,979,220.33
  5. Step 5: Solve for x
    x = 1,979,220.33/645.79
  6. Step 6: Final answer
    x = 3,064.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.