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Finding the Third Proportional to 615.49 and 921.06

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Solution

The third proportional to 615.49 and 921.06 is: 1,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 921.06 = 921.06 : x
  2. Step 2: Convert to fraction form
    615.49/921.06 = 921.06/x
  3. Step 3: Cross multiply
    615.49x = 921.06 × 921.06
  4. Step 4: Simplify right side
    615.49x = 848,348.93
  5. Step 5: Solve for x
    x = 848,348.93/615.49
  6. Step 6: Final answer
    x = 1,378.33

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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.