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Finding the Third Proportional to 100,642,968 and 220,129,128

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Solution

The third proportional to 100,642,968 and 220,129,128 is: 481,472,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642,968 : 220,129,128 = 220,129,128 : x
  2. Step 2: Convert to fraction form
    100,642,968/220,129,128 = 220,129,128/x
  3. Step 3: Cross multiply
    100,642,968x = 220,129,128 × 220,129,128
  4. Step 4: Simplify right side
    100,642,968x = 48,456,832,994,040,384
  5. Step 5: Solve for x
    x = 48,456,832,994,040,384/100,642,968
  6. Step 6: Final answer
    x = 481,472,615.10

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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.