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Finding the Third Proportional to 68,416 and 147,019

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Solution

The third proportional to 68,416 and 147,019 is: 315,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,416 : 147,019 = 147,019 : x
  2. Step 2: Convert to fraction form
    68,416/147,019 = 147,019/x
  3. Step 3: Cross multiply
    68,416x = 147,019 × 147,019
  4. Step 4: Simplify right side
    68,416x = 21,614,586,361
  5. Step 5: Solve for x
    x = 21,614,586,361/68,416
  6. Step 6: Final answer
    x = 315,928.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.