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Finding the Third Proportional to 181,678,964 and 394,024,040

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Solution

The third proportional to 181,678,964 and 394,024,040 is: 854,556,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,678,964 : 394,024,040 = 394,024,040 : x
  2. Step 2: Convert to fraction form
    181,678,964/394,024,040 = 394,024,040/x
  3. Step 3: Cross multiply
    181,678,964x = 394,024,040 × 394,024,040
  4. Step 4: Simplify right side
    181,678,964x = 155,254,944,097,921,600
  5. Step 5: Solve for x
    x = 155,254,944,097,921,600/181,678,964
  6. Step 6: Final answer
    x = 854,556,524.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.