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Finding the Third Proportional to 153.14 and 230.77

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Solution

The third proportional to 153.14 and 230.77 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.14 : 230.77 = 230.77 : x
  2. Step 2: Convert to fraction form
    153.14/230.77 = 230.77/x
  3. Step 3: Cross multiply
    153.14x = 230.77 × 230.77
  4. Step 4: Simplify right side
    153.14x = 53,252.77
  5. Step 5: Solve for x
    x = 53,252.77/153.14
  6. Step 6: Final answer
    x = 347.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.