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Finding the Third Proportional to 54,545,268 and 121,198,080

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Solution

The third proportional to 54,545,268 and 121,198,080 is: 269,298,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,268 : 121,198,080 = 121,198,080 : x
  2. Step 2: Convert to fraction form
    54,545,268/121,198,080 = 121,198,080/x
  3. Step 3: Cross multiply
    54,545,268x = 121,198,080 × 121,198,080
  4. Step 4: Simplify right side
    54,545,268x = 14,688,974,595,686,400
  5. Step 5: Solve for x
    x = 14,688,974,595,686,400/54,545,268
  6. Step 6: Final answer
    x = 269,298,788.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.