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Finding the Third Proportional to 421,001,213,104 and 909,102,718,208

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Solution

The third proportional to 421,001,213,104 and 909,102,718,208 is: 1,963,100,643,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,001,213,104 : 909,102,718,208 = 909,102,718,208 : x
  2. Step 2: Convert to fraction form
    421,001,213,104/909,102,718,208 = 909,102,718,208/x
  3. Step 3: Cross multiply
    421,001,213,104x = 909,102,718,208 × 909,102,718,208
  4. Step 4: Simplify right side
    421,001,213,104x = 826,467,752,253,174,317,056,000
  5. Step 5: Solve for x
    x = 826,467,752,253,174,317,056,000/421,001,213,104
  6. Step 6: Final answer
    x = 1,963,100,643,249.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.