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Finding the Third Proportional to 153.77 and 339.58

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Solution

The third proportional to 153.77 and 339.58 is: 749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 339.58 = 339.58 : x
  2. Step 2: Convert to fraction form
    153.77/339.58 = 339.58/x
  3. Step 3: Cross multiply
    153.77x = 339.58 × 339.58
  4. Step 4: Simplify right side
    153.77x = 115,316.62
  5. Step 5: Solve for x
    x = 115,316.62/153.77
  6. Step 6: Final answer
    x = 749.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.