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Finding the Third Proportional to 159.45 and 246.28

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Solution

The third proportional to 159.45 and 246.28 is: 380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.45 : 246.28 = 246.28 : x
  2. Step 2: Convert to fraction form
    159.45/246.28 = 246.28/x
  3. Step 3: Cross multiply
    159.45x = 246.28 × 246.28
  4. Step 4: Simplify right side
    159.45x = 60,652.74
  5. Step 5: Solve for x
    x = 60,652.74/159.45
  6. Step 6: Final answer
    x = 380.40

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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.