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Finding the Third Proportional to 68,612 and 139,132

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Solution

The third proportional to 68,612 and 139,132 is: 282,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,612 : 139,132 = 139,132 : x
  2. Step 2: Convert to fraction form
    68,612/139,132 = 139,132/x
  3. Step 3: Cross multiply
    68,612x = 139,132 × 139,132
  4. Step 4: Simplify right side
    68,612x = 19,357,713,424
  5. Step 5: Solve for x
    x = 19,357,713,424/68,612
  6. Step 6: Final answer
    x = 282,133.06

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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.