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Finding the Third Proportional to 269,877 and 396,058.50

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Solution

The third proportional to 269,877 and 396,058.50 is: 581,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,877 : 396,058.50 = 396,058.50 : x
  2. Step 2: Convert to fraction form
    269,877/396,058.50 = 396,058.50/x
  3. Step 3: Cross multiply
    269,877x = 396,058.50 × 396,058.50
  4. Step 4: Simplify right side
    269,877x = 156,862,335,422.25
  5. Step 5: Solve for x
    x = 156,862,335,422.25/269,877
  6. Step 6: Final answer
    x = 581,236.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.