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Finding the Third Proportional to 218,713,262 and 307,647,615

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Solution

The third proportional to 218,713,262 and 307,647,615 is: 432,744,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,713,262 : 307,647,615 = 307,647,615 : x
  2. Step 2: Convert to fraction form
    218,713,262/307,647,615 = 307,647,615/x
  3. Step 3: Cross multiply
    218,713,262x = 307,647,615 × 307,647,615
  4. Step 4: Simplify right side
    218,713,262x = 94,647,055,015,188,224
  5. Step 5: Solve for x
    x = 94,647,055,015,188,224/218,713,262
  6. Step 6: Final answer
    x = 432,744,928.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.