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Finding the Third Proportional to 74,268 and 121,918

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Solution

The third proportional to 74,268 and 121,918 is: 200,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,268 : 121,918 = 121,918 : x
  2. Step 2: Convert to fraction form
    74,268/121,918 = 121,918/x
  3. Step 3: Cross multiply
    74,268x = 121,918 × 121,918
  4. Step 4: Simplify right side
    74,268x = 14,863,998,724
  5. Step 5: Solve for x
    x = 14,863,998,724/74,268
  6. Step 6: Final answer
    x = 200,140.02

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.