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Finding the Third Proportional to 298.79 and 461.48

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Solution

The third proportional to 298.79 and 461.48 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.79 : 461.48 = 461.48 : x
  2. Step 2: Convert to fraction form
    298.79/461.48 = 461.48/x
  3. Step 3: Cross multiply
    298.79x = 461.48 × 461.48
  4. Step 4: Simplify right side
    298.79x = 212,962.42
  5. Step 5: Solve for x
    x = 212,962.42/298.79
  6. Step 6: Final answer
    x = 712.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.