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Finding the Third Proportional to 648.42 and 972.42

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Solution

The third proportional to 648.42 and 972.42 is: 1,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 972.42 = 972.42 : x
  2. Step 2: Convert to fraction form
    648.42/972.42 = 972.42/x
  3. Step 3: Cross multiply
    648.42x = 972.42 × 972.42
  4. Step 4: Simplify right side
    648.42x = 945,604.30
  5. Step 5: Solve for x
    x = 945,604.30/648.42
  6. Step 6: Final answer
    x = 1,458.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.