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Finding the Third Proportional to 81,913,676 and 175,983,745

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Solution

The third proportional to 81,913,676 and 175,983,745 is: 378,084,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,913,676 : 175,983,745 = 175,983,745 : x
  2. Step 2: Convert to fraction form
    81,913,676/175,983,745 = 175,983,745/x
  3. Step 3: Cross multiply
    81,913,676x = 175,983,745 × 175,983,745
  4. Step 4: Simplify right side
    81,913,676x = 30,970,278,504,225,024
  5. Step 5: Solve for x
    x = 30,970,278,504,225,024/81,913,676
  6. Step 6: Final answer
    x = 378,084,344.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.