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Finding the Third Proportional to 68,294.81 and 139,299.75

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Solution

The third proportional to 68,294.81 and 139,299.75 is: 284,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,294.81 : 139,299.75 = 139,299.75 : x
  2. Step 2: Convert to fraction form
    68,294.81/139,299.75 = 139,299.75/x
  3. Step 3: Cross multiply
    68,294.81x = 139,299.75 × 139,299.75
  4. Step 4: Simplify right side
    68,294.81x = 19,404,420,350.06
  5. Step 5: Solve for x
    x = 19,404,420,350.06/68,294.81
  6. Step 6: Final answer
    x = 284,127.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.