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Finding the Third Proportional to 73.14 and 159.15

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Solution

The third proportional to 73.14 and 159.15 is: 346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 159.15 = 159.15 : x
  2. Step 2: Convert to fraction form
    73.14/159.15 = 159.15/x
  3. Step 3: Cross multiply
    73.14x = 159.15 × 159.15
  4. Step 4: Simplify right side
    73.14x = 25,329.47
  5. Step 5: Solve for x
    x = 25,329.47/73.14
  6. Step 6: Final answer
    x = 346.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.