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Finding the Third Proportional to 105,982 and 220,580

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Solution

The third proportional to 105,982 and 220,580 is: 459,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,982 : 220,580 = 220,580 : x
  2. Step 2: Convert to fraction form
    105,982/220,580 = 220,580/x
  3. Step 3: Cross multiply
    105,982x = 220,580 × 220,580
  4. Step 4: Simplify right side
    105,982x = 48,655,536,400
  5. Step 5: Solve for x
    x = 48,655,536,400/105,982
  6. Step 6: Final answer
    x = 459,092.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.