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Finding the Third Proportional to 297.38 and 380.63

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Solution

The third proportional to 297.38 and 380.63 is: 487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 380.63 = 380.63 : x
  2. Step 2: Convert to fraction form
    297.38/380.63 = 380.63/x
  3. Step 3: Cross multiply
    297.38x = 380.63 × 380.63
  4. Step 4: Simplify right side
    297.38x = 144,875.39
  5. Step 5: Solve for x
    x = 144,875.39/297.38
  6. Step 6: Final answer
    x = 487.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.