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Finding the Third Proportional to 621.13 and 923.38

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Solution

The third proportional to 621.13 and 923.38 is: 1,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.13 : 923.38 = 923.38 : x
  2. Step 2: Convert to fraction form
    621.13/923.38 = 923.38/x
  3. Step 3: Cross multiply
    621.13x = 923.38 × 923.38
  4. Step 4: Simplify right side
    621.13x = 852,621.39
  5. Step 5: Solve for x
    x = 852,621.39/621.13
  6. Step 6: Final answer
    x = 1,372.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.