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Finding the Third Proportional to 68,290 and 147,812

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Solution

The third proportional to 68,290 and 147,812 is: 319,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,290 : 147,812 = 147,812 : x
  2. Step 2: Convert to fraction form
    68,290/147,812 = 147,812/x
  3. Step 3: Cross multiply
    68,290x = 147,812 × 147,812
  4. Step 4: Simplify right side
    68,290x = 21,848,387,344
  5. Step 5: Solve for x
    x = 21,848,387,344/68,290
  6. Step 6: Final answer
    x = 319,935.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.