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Finding the Third Proportional to 54,545,272 and 121,198,099

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Solution

The third proportional to 54,545,272 and 121,198,099 is: 269,298,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,272 : 121,198,099 = 121,198,099 : x
  2. Step 2: Convert to fraction form
    54,545,272/121,198,099 = 121,198,099/x
  3. Step 3: Cross multiply
    54,545,272x = 121,198,099 × 121,198,099
  4. Step 4: Simplify right side
    54,545,272x = 14,688,979,201,213,800
  5. Step 5: Solve for x
    x = 14,688,979,201,213,800/54,545,272
  6. Step 6: Final answer
    x = 269,298,853.28

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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.