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Finding the Third Proportional to 109,257.75 and 171,677.25

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Solution

The third proportional to 109,257.75 and 171,677.25 is: 269,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,257.75 : 171,677.25 = 171,677.25 : x
  2. Step 2: Convert to fraction form
    109,257.75/171,677.25 = 171,677.25/x
  3. Step 3: Cross multiply
    109,257.75x = 171,677.25 × 171,677.25
  4. Step 4: Simplify right side
    109,257.75x = 29,473,078,167.56
  5. Step 5: Solve for x
    x = 29,473,078,167.56/109,257.75
  6. Step 6: Final answer
    x = 269,757.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.