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Finding the Third Proportional to 235.78 and 368.06

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Solution

The third proportional to 235.78 and 368.06 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 368.06 = 368.06 : x
  2. Step 2: Convert to fraction form
    235.78/368.06 = 368.06/x
  3. Step 3: Cross multiply
    235.78x = 368.06 × 368.06
  4. Step 4: Simplify right side
    235.78x = 135,470.00
  5. Step 5: Solve for x
    x = 135,470.00/235.78
  6. Step 6: Final answer
    x = 574.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.