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Finding the Third Proportional to 74.19 and 159.13

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Solution

The third proportional to 74.19 and 159.13 is: 341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 159.13 = 159.13 : x
  2. Step 2: Convert to fraction form
    74.19/159.13 = 159.13/x
  3. Step 3: Cross multiply
    74.19x = 159.13 × 159.13
  4. Step 4: Simplify right side
    74.19x = 25,320.77
  5. Step 5: Solve for x
    x = 25,320.77/74.19
  6. Step 6: Final answer
    x = 341.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.