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Finding the Third Proportional to 172,397,952 and 383,059,728

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Solution

The third proportional to 172,397,952 and 383,059,728 is: 851,139,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,397,952 : 383,059,728 = 383,059,728 : x
  2. Step 2: Convert to fraction form
    172,397,952/383,059,728 = 383,059,728/x
  3. Step 3: Cross multiply
    172,397,952x = 383,059,728 × 383,059,728
  4. Step 4: Simplify right side
    172,397,952x = 146,734,755,215,433,984
  5. Step 5: Solve for x
    x = 146,734,755,215,433,984/172,397,952
  6. Step 6: Final answer
    x = 851,139,781.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.