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Finding the Third Proportional to 105,768 and 220,230

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Solution

The third proportional to 105,768 and 220,230 is: 458,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,768 : 220,230 = 220,230 : x
  2. Step 2: Convert to fraction form
    105,768/220,230 = 220,230/x
  3. Step 3: Cross multiply
    105,768x = 220,230 × 220,230
  4. Step 4: Simplify right side
    105,768x = 48,501,252,900
  5. Step 5: Solve for x
    x = 48,501,252,900/105,768
  6. Step 6: Final answer
    x = 458,562.64

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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.