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Finding the Third Proportional to 159.13 and 369.88

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Solution

The third proportional to 159.13 and 369.88 is: 859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.13 : 369.88 = 369.88 : x
  2. Step 2: Convert to fraction form
    159.13/369.88 = 369.88/x
  3. Step 3: Cross multiply
    159.13x = 369.88 × 369.88
  4. Step 4: Simplify right side
    159.13x = 136,807.52
  5. Step 5: Solve for x
    x = 136,807.52/159.13
  6. Step 6: Final answer
    x = 859.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.