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Finding the Third Proportional to 291.88 and 616.52

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Solution

The third proportional to 291.88 and 616.52 is: 1,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 616.52 = 616.52 : x
  2. Step 2: Convert to fraction form
    291.88/616.52 = 616.52/x
  3. Step 3: Cross multiply
    291.88x = 616.52 × 616.52
  4. Step 4: Simplify right side
    291.88x = 380,093.92
  5. Step 5: Solve for x
    x = 380,093.92/291.88
  6. Step 6: Final answer
    x = 1,302.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.