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Finding the Third Proportional to 298.50 and 427.13

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Solution

The third proportional to 298.50 and 427.13 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 427.13 = 427.13 : x
  2. Step 2: Convert to fraction form
    298.50/427.13 = 427.13/x
  3. Step 3: Cross multiply
    298.50x = 427.13 × 427.13
  4. Step 4: Simplify right side
    298.50x = 182,435.77
  5. Step 5: Solve for x
    x = 182,435.77/298.50
  6. Step 6: Final answer
    x = 611.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.