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Finding the Third Proportional to 486,942,926 and 990,891,910

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Solution

The third proportional to 486,942,926 and 990,891,910 is: 2,016,389,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,942,926 : 990,891,910 = 990,891,910 : x
  2. Step 2: Convert to fraction form
    486,942,926/990,891,910 = 990,891,910/x
  3. Step 3: Cross multiply
    486,942,926x = 990,891,910 × 990,891,910
  4. Step 4: Simplify right side
    486,942,926x = 981,866,777,303,448,064
  5. Step 5: Solve for x
    x = 981,866,777,303,448,064/486,942,926
  6. Step 6: Final answer
    x = 2,016,389,857.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.