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Finding the Third Proportional to 68,717 and 147,802

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Solution

The third proportional to 68,717 and 147,802 is: 317,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,717 : 147,802 = 147,802 : x
  2. Step 2: Convert to fraction form
    68,717/147,802 = 147,802/x
  3. Step 3: Cross multiply
    68,717x = 147,802 × 147,802
  4. Step 4: Simplify right side
    68,717x = 21,845,431,204
  5. Step 5: Solve for x
    x = 21,845,431,204/68,717
  6. Step 6: Final answer
    x = 317,904.32

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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.