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Finding the Third Proportional to 615.75 and 923.25

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Solution

The third proportional to 615.75 and 923.25 is: 1,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.75 : 923.25 = 923.25 : x
  2. Step 2: Convert to fraction form
    615.75/923.25 = 923.25/x
  3. Step 3: Cross multiply
    615.75x = 923.25 × 923.25
  4. Step 4: Simplify right side
    615.75x = 852,390.56
  5. Step 5: Solve for x
    x = 852,390.56/615.75
  6. Step 6: Final answer
    x = 1,384.31

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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.