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Finding the Third Proportional to 77.04 and 159.14

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Solution

The third proportional to 77.04 and 159.14 is: 328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 159.14 = 159.14 : x
  2. Step 2: Convert to fraction form
    77.04/159.14 = 159.14/x
  3. Step 3: Cross multiply
    77.04x = 159.14 × 159.14
  4. Step 4: Simplify right side
    77.04x = 25,325.74
  5. Step 5: Solve for x
    x = 25,325.74/77.04
  6. Step 6: Final answer
    x = 328.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.