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Finding the Third Proportional to 68,015.91 and 147,680.17

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Solution

The third proportional to 68,015.91 and 147,680.17 is: 320,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,015.91 : 147,680.17 = 147,680.17 : x
  2. Step 2: Convert to fraction form
    68,015.91/147,680.17 = 147,680.17/x
  3. Step 3: Cross multiply
    68,015.91x = 147,680.17 × 147,680.17
  4. Step 4: Simplify right side
    68,015.91x = 21,809,431,145.96
  5. Step 5: Solve for x
    x = 21,809,431,145.96/68,015.91
  6. Step 6: Final answer
    x = 320,651.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.