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Finding the Third Proportional to 68.95 and 151.08

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Solution

The third proportional to 68.95 and 151.08 is: 331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.95 : 151.08 = 151.08 : x
  2. Step 2: Convert to fraction form
    68.95/151.08 = 151.08/x
  3. Step 3: Cross multiply
    68.95x = 151.08 × 151.08
  4. Step 4: Simplify right side
    68.95x = 22,824.60
  5. Step 5: Solve for x
    x = 22,824.60/68.95
  6. Step 6: Final answer
    x = 331.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.