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Finding the Third Proportional to 68,519 and 138,928

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Solution

The third proportional to 68,519 and 138,928 is: 281,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,519 : 138,928 = 138,928 : x
  2. Step 2: Convert to fraction form
    68,519/138,928 = 138,928/x
  3. Step 3: Cross multiply
    68,519x = 138,928 × 138,928
  4. Step 4: Simplify right side
    68,519x = 19,300,989,184
  5. Step 5: Solve for x
    x = 19,300,989,184/68,519
  6. Step 6: Final answer
    x = 281,688.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.