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Finding the Third Proportional to 159.19 and 202.03

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Solution

The third proportional to 159.19 and 202.03 is: 256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.19 : 202.03 = 202.03 : x
  2. Step 2: Convert to fraction form
    159.19/202.03 = 202.03/x
  3. Step 3: Cross multiply
    159.19x = 202.03 × 202.03
  4. Step 4: Simplify right side
    159.19x = 40,816.63
  5. Step 5: Solve for x
    x = 40,816.63/159.19
  6. Step 6: Final answer
    x = 256.41

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.