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Finding the Third Proportional to 172,397,976 and 383,059,680

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Solution

The third proportional to 172,397,976 and 383,059,680 is: 851,139,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,397,976 : 383,059,680 = 383,059,680 : x
  2. Step 2: Convert to fraction form
    172,397,976/383,059,680 = 383,059,680/x
  3. Step 3: Cross multiply
    172,397,976x = 383,059,680 × 383,059,680
  4. Step 4: Simplify right side
    172,397,976x = 146,734,718,441,702,400
  5. Step 5: Solve for x
    x = 146,734,718,441,702,400/172,397,976
  6. Step 6: Final answer
    x = 851,139,449.81

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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.