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Finding the Third Proportional to 159.81 and 344.88

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Solution

The third proportional to 159.81 and 344.88 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.81 : 344.88 = 344.88 : x
  2. Step 2: Convert to fraction form
    159.81/344.88 = 344.88/x
  3. Step 3: Cross multiply
    159.81x = 344.88 × 344.88
  4. Step 4: Simplify right side
    159.81x = 118,938.77
  5. Step 5: Solve for x
    x = 118,938.77/159.81
  6. Step 6: Final answer
    x = 744.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.