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Finding the Third Proportional to 68,689 and 146,450

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Solution

The third proportional to 68,689 and 146,450 is: 312,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,689 : 146,450 = 146,450 : x
  2. Step 2: Convert to fraction form
    68,689/146,450 = 146,450/x
  3. Step 3: Cross multiply
    68,689x = 146,450 × 146,450
  4. Step 4: Simplify right side
    68,689x = 21,447,602,500
  5. Step 5: Solve for x
    x = 21,447,602,500/68,689
  6. Step 6: Final answer
    x = 312,242.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.