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Finding the Third Proportional to 298.88 and 616.88

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Solution

The third proportional to 298.88 and 616.88 is: 1,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.88 : 616.88 = 616.88 : x
  2. Step 2: Convert to fraction form
    298.88/616.88 = 616.88/x
  3. Step 3: Cross multiply
    298.88x = 616.88 × 616.88
  4. Step 4: Simplify right side
    298.88x = 380,534.77
  5. Step 5: Solve for x
    x = 380,534.77/298.88
  6. Step 6: Final answer
    x = 1,273.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.