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Finding the Third Proportional to 87,421,649 and 190,664,578

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Solution

The third proportional to 87,421,649 and 190,664,578 is: 415,834,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,421,649 : 190,664,578 = 190,664,578 : x
  2. Step 2: Convert to fraction form
    87,421,649/190,664,578 = 190,664,578/x
  3. Step 3: Cross multiply
    87,421,649x = 190,664,578 × 190,664,578
  4. Step 4: Simplify right side
    87,421,649x = 36,352,981,303,918,080
  5. Step 5: Solve for x
    x = 36,352,981,303,918,080/87,421,649
  6. Step 6: Final answer
    x = 415,834,998.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.