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Finding the Third Proportional to 55,387 and 121,850

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Solution

The third proportional to 55,387 and 121,850 is: 268,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,387 : 121,850 = 121,850 : x
  2. Step 2: Convert to fraction form
    55,387/121,850 = 121,850/x
  3. Step 3: Cross multiply
    55,387x = 121,850 × 121,850
  4. Step 4: Simplify right side
    55,387x = 14,847,422,500
  5. Step 5: Solve for x
    x = 14,847,422,500/55,387
  6. Step 6: Final answer
    x = 268,066.92

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