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Finding the Third Proportional to 55,425 and 121,922.25

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Solution

The third proportional to 55,425 and 121,922.25 is: 268,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,425 : 121,922.25 = 121,922.25 : x
  2. Step 2: Convert to fraction form
    55,425/121,922.25 = 121,922.25/x
  3. Step 3: Cross multiply
    55,425x = 121,922.25 × 121,922.25
  4. Step 4: Simplify right side
    55,425x = 14,865,035,045.06
  5. Step 5: Solve for x
    x = 14,865,035,045.06/55,425
  6. Step 6: Final answer
    x = 268,200.90

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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.