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Finding the Third Proportional to 648.38 and 989.06

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Solution

The third proportional to 648.38 and 989.06 is: 1,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.38 : 989.06 = 989.06 : x
  2. Step 2: Convert to fraction form
    648.38/989.06 = 989.06/x
  3. Step 3: Cross multiply
    648.38x = 989.06 × 989.06
  4. Step 4: Simplify right side
    648.38x = 978,244.63
  5. Step 5: Solve for x
    x = 978,244.63/648.38
  6. Step 6: Final answer
    x = 1,508.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.