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Finding the Third Proportional to 68.66 and 145.86

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Solution

The third proportional to 68.66 and 145.86 is: 309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.66 : 145.86 = 145.86 : x
  2. Step 2: Convert to fraction form
    68.66/145.86 = 145.86/x
  3. Step 3: Cross multiply
    68.66x = 145.86 × 145.86
  4. Step 4: Simplify right side
    68.66x = 21,276.10
  5. Step 5: Solve for x
    x = 21,276.10/68.66
  6. Step 6: Final answer
    x = 309.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.