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Finding the Third Proportional to 202,436,595,739 and 421,628,749,440

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Solution

The third proportional to 202,436,595,739 and 421,628,749,440 is: 878,155,462,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436,595,739 : 421,628,749,440 = 421,628,749,440 : x
  2. Step 2: Convert to fraction form
    202,436,595,739/421,628,749,440 = 421,628,749,440/x
  3. Step 3: Cross multiply
    202,436,595,739x = 421,628,749,440 × 421,628,749,440
  4. Step 4: Simplify right side
    202,436,595,739x = 177,770,802,354,338,303,836,160
  5. Step 5: Solve for x
    x = 177,770,802,354,338,303,836,160/202,436,595,739
  6. Step 6: Final answer
    x = 878,155,462,481.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.