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Finding the Third Proportional to 55,450 and 121,970

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Solution

The third proportional to 55,450 and 121,970 is: 268,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,450 : 121,970 = 121,970 : x
  2. Step 2: Convert to fraction form
    55,450/121,970 = 121,970/x
  3. Step 3: Cross multiply
    55,450x = 121,970 × 121,970
  4. Step 4: Simplify right side
    55,450x = 14,876,680,900
  5. Step 5: Solve for x
    x = 14,876,680,900/55,450
  6. Step 6: Final answer
    x = 268,290.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.