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Finding the Third Proportional to 220,845,198 and 478,495,908

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Solution

The third proportional to 220,845,198 and 478,495,908 is: 1,036,736,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,198 : 478,495,908 = 478,495,908 : x
  2. Step 2: Convert to fraction form
    220,845,198/478,495,908 = 478,495,908/x
  3. Step 3: Cross multiply
    220,845,198x = 478,495,908 × 478,495,908
  4. Step 4: Simplify right side
    220,845,198x = 228,958,333,972,744,448
  5. Step 5: Solve for x
    x = 228,958,333,972,744,448/220,845,198
  6. Step 6: Final answer
    x = 1,036,736,755.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.