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Finding the Third Proportional to 278,187 and 422,586

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Solution

The third proportional to 278,187 and 422,586 is: 641,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,187 : 422,586 = 422,586 : x
  2. Step 2: Convert to fraction form
    278,187/422,586 = 422,586/x
  3. Step 3: Cross multiply
    278,187x = 422,586 × 422,586
  4. Step 4: Simplify right side
    278,187x = 178,578,927,396
  5. Step 5: Solve for x
    x = 178,578,927,396/278,187
  6. Step 6: Final answer
    x = 641,938.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.