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Finding the Third Proportional to 73.51 and 159.26

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Solution

The third proportional to 73.51 and 159.26 is: 345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 159.26 = 159.26 : x
  2. Step 2: Convert to fraction form
    73.51/159.26 = 159.26/x
  3. Step 3: Cross multiply
    73.51x = 159.26 × 159.26
  4. Step 4: Simplify right side
    73.51x = 25,363.05
  5. Step 5: Solve for x
    x = 25,363.05/73.51
  6. Step 6: Final answer
    x = 345.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.