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Finding the Third Proportional to 645.56 and 1,408.13

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Solution

The third proportional to 645.56 and 1,408.13 is: 3,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 1,408.13 = 1,408.13 : x
  2. Step 2: Convert to fraction form
    645.56/1,408.13 = 1,408.13/x
  3. Step 3: Cross multiply
    645.56x = 1,408.13 × 1,408.13
  4. Step 4: Simplify right side
    645.56x = 1,982,816.02
  5. Step 5: Solve for x
    x = 1,982,816.02/645.56
  6. Step 6: Final answer
    x = 3,071.45

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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.