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Finding the Third Proportional to 645.94 and 1,412.06

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Solution

The third proportional to 645.94 and 1,412.06 is: 3,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 1,412.06 = 1,412.06 : x
  2. Step 2: Convert to fraction form
    645.94/1,412.06 = 1,412.06/x
  3. Step 3: Cross multiply
    645.94x = 1,412.06 × 1,412.06
  4. Step 4: Simplify right side
    645.94x = 1,993,920.50
  5. Step 5: Solve for x
    x = 1,993,920.50/645.94
  6. Step 6: Final answer
    x = 3,086.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.