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Finding the Third Proportional to 615.42 and 923.13

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Solution

The third proportional to 615.42 and 923.13 is: 1,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 923.13 = 923.13 : x
  2. Step 2: Convert to fraction form
    615.42/923.13 = 923.13/x
  3. Step 3: Cross multiply
    615.42x = 923.13 × 923.13
  4. Step 4: Simplify right side
    615.42x = 852,174.19
  5. Step 5: Solve for x
    x = 852,174.19/615.42
  6. Step 6: Final answer
    x = 1,384.70

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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.