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Finding the Third Proportional to 672.38 and 986.48

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Solution

The third proportional to 672.38 and 986.48 is: 1,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.38 : 986.48 = 986.48 : x
  2. Step 2: Convert to fraction form
    672.38/986.48 = 986.48/x
  3. Step 3: Cross multiply
    672.38x = 986.48 × 986.48
  4. Step 4: Simplify right side
    672.38x = 973,151.42
  5. Step 5: Solve for x
    x = 973,151.42/672.38
  6. Step 6: Final answer
    x = 1,447.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.