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Finding the Third Proportional to 68.61 and 152.40

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Solution

The third proportional to 68.61 and 152.40 is: 338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.61 : 152.40 = 152.40 : x
  2. Step 2: Convert to fraction form
    68.61/152.40 = 152.40/x
  3. Step 3: Cross multiply
    68.61x = 152.40 × 152.40
  4. Step 4: Simplify right side
    68.61x = 23,226.47
  5. Step 5: Solve for x
    x = 23,226.47/68.61
  6. Step 6: Final answer
    x = 338.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.