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Finding the Third Proportional to 75.45 and 159.00

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Solution

The third proportional to 75.45 and 159.00 is: 335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.45 : 159.00 = 159.00 : x
  2. Step 2: Convert to fraction form
    75.45/159.00 = 159.00/x
  3. Step 3: Cross multiply
    75.45x = 159.00 × 159.00
  4. Step 4: Simplify right side
    75.45x = 25,280.53
  5. Step 5: Solve for x
    x = 25,280.53/75.45
  6. Step 6: Final answer
    x = 335.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.