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Finding the Third Proportional to 105,890 and 220,490

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Solution

The third proportional to 105,890 and 220,490 is: 459,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,890 : 220,490 = 220,490 : x
  2. Step 2: Convert to fraction form
    105,890/220,490 = 220,490/x
  3. Step 3: Cross multiply
    105,890x = 220,490 × 220,490
  4. Step 4: Simplify right side
    105,890x = 48,615,840,100
  5. Step 5: Solve for x
    x = 48,615,840,100/105,890
  6. Step 6: Final answer
    x = 459,116.44

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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.