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Finding the Third Proportional to 113,921 and 172,580

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Solution

The third proportional to 113,921 and 172,580 is: 261,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,921 : 172,580 = 172,580 : x
  2. Step 2: Convert to fraction form
    113,921/172,580 = 172,580/x
  3. Step 3: Cross multiply
    113,921x = 172,580 × 172,580
  4. Step 4: Simplify right side
    113,921x = 29,783,856,400
  5. Step 5: Solve for x
    x = 29,783,856,400/113,921
  6. Step 6: Final answer
    x = 261,443.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.