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Finding the Third Proportional to 181,489,380 and 278,962,182

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Solution

The third proportional to 181,489,380 and 278,962,182 is: 428,784,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,489,380 : 278,962,182 = 278,962,182 : x
  2. Step 2: Convert to fraction form
    181,489,380/278,962,182 = 278,962,182/x
  3. Step 3: Cross multiply
    181,489,380x = 278,962,182 × 278,962,182
  4. Step 4: Simplify right side
    181,489,380x = 77,819,898,986,201,120
  5. Step 5: Solve for x
    x = 77,819,898,986,201,120/181,489,380
  6. Step 6: Final answer
    x = 428,784,863.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.