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Finding the Third Proportional to 81,913,674 and 175,983,741

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Solution

The third proportional to 81,913,674 and 175,983,741 is: 378,084,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,913,674 : 175,983,741 = 175,983,741 : x
  2. Step 2: Convert to fraction form
    81,913,674/175,983,741 = 175,983,741/x
  3. Step 3: Cross multiply
    81,913,674x = 175,983,741 × 175,983,741
  4. Step 4: Simplify right side
    81,913,674x = 30,970,277,096,355,080
  5. Step 5: Solve for x
    x = 30,970,277,096,355,080/81,913,674
  6. Step 6: Final answer
    x = 378,084,336.64

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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.