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Finding the Third Proportional to 153.56 and 299.39

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Solution

The third proportional to 153.56 and 299.39 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.56 : 299.39 = 299.39 : x
  2. Step 2: Convert to fraction form
    153.56/299.39 = 299.39/x
  3. Step 3: Cross multiply
    153.56x = 299.39 × 299.39
  4. Step 4: Simplify right side
    153.56x = 89,634.75
  5. Step 5: Solve for x
    x = 89,634.75/153.56
  6. Step 6: Final answer
    x = 583.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.