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Finding the Third Proportional to 54,821,664 and 121,897,938

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Solution

The third proportional to 54,821,664 and 121,897,938 is: 271,044,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821,664 : 121,897,938 = 121,897,938 : x
  2. Step 2: Convert to fraction form
    54,821,664/121,897,938 = 121,897,938/x
  3. Step 3: Cross multiply
    54,821,664x = 121,897,938 × 121,897,938
  4. Step 4: Simplify right side
    54,821,664x = 14,859,107,288,651,844
  5. Step 5: Solve for x
    x = 14,859,107,288,651,844/54,821,664
  6. Step 6: Final answer
    x = 271,044,441.28

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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.