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Finding the Third Proportional to 65.95 and 159.80

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Solution

The third proportional to 65.95 and 159.80 is: 387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.95 : 159.80 = 159.80 : x
  2. Step 2: Convert to fraction form
    65.95/159.80 = 159.80/x
  3. Step 3: Cross multiply
    65.95x = 159.80 × 159.80
  4. Step 4: Simplify right side
    65.95x = 25,536.71
  5. Step 5: Solve for x
    x = 25,536.71/65.95
  6. Step 6: Final answer
    x = 387.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.