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Finding the Third Proportional to 102,269 and 220,871

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Solution

The third proportional to 102,269 and 220,871 is: 477,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,269 : 220,871 = 220,871 : x
  2. Step 2: Convert to fraction form
    102,269/220,871 = 220,871/x
  3. Step 3: Cross multiply
    102,269x = 220,871 × 220,871
  4. Step 4: Simplify right side
    102,269x = 48,783,998,641
  5. Step 5: Solve for x
    x = 48,783,998,641/102,269
  6. Step 6: Final answer
    x = 477,016.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.