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Finding the Third Proportional to 172,951 and 220,991

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Solution

The third proportional to 172,951 and 220,991 is: 282,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,951 : 220,991 = 220,991 : x
  2. Step 2: Convert to fraction form
    172,951/220,991 = 220,991/x
  3. Step 3: Cross multiply
    172,951x = 220,991 × 220,991
  4. Step 4: Simplify right side
    172,951x = 48,837,022,081
  5. Step 5: Solve for x
    x = 48,837,022,081/172,951
  6. Step 6: Final answer
    x = 282,374.90

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.