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Finding the Third Proportional to 100,748,597,553 and 220,476,109,410

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Solution

The third proportional to 100,748,597,553 and 220,476,109,410 is: 482,485,275,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,748,597,553 : 220,476,109,410 = 220,476,109,410 : x
  2. Step 2: Convert to fraction form
    100,748,597,553/220,476,109,410 = 220,476,109,410/x
  3. Step 3: Cross multiply
    100,748,597,553x = 220,476,109,410 × 220,476,109,410
  4. Step 4: Simplify right side
    100,748,597,553x = 48,609,714,820,570,287,177,728
  5. Step 5: Solve for x
    x = 48,609,714,820,570,287,177,728/100,748,597,553
  6. Step 6: Final answer
    x = 482,485,275,241.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.