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Finding the Third Proportional to 147,869 and 209,227

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Solution

The third proportional to 147,869 and 209,227 is: 296,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,869 : 209,227 = 209,227 : x
  2. Step 2: Convert to fraction form
    147,869/209,227 = 209,227/x
  3. Step 3: Cross multiply
    147,869x = 209,227 × 209,227
  4. Step 4: Simplify right side
    147,869x = 43,775,937,529
  5. Step 5: Solve for x
    x = 43,775,937,529/147,869
  6. Step 6: Final answer
    x = 296,045.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.