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Finding the Third Proportional to 645.44 and 1,025.72

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Solution

The third proportional to 645.44 and 1,025.72 is: 1,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 1,025.72 = 1,025.72 : x
  2. Step 2: Convert to fraction form
    645.44/1,025.72 = 1,025.72/x
  3. Step 3: Cross multiply
    645.44x = 1,025.72 × 1,025.72
  4. Step 4: Simplify right side
    645.44x = 1,052,098.95
  5. Step 5: Solve for x
    x = 1,052,098.95/645.44
  6. Step 6: Final answer
    x = 1,630.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.