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Finding the Third Proportional to 215,119,728 and 325,240,704

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Solution

The third proportional to 215,119,728 and 325,240,704 is: 491,733,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,119,728 : 325,240,704 = 325,240,704 : x
  2. Step 2: Convert to fraction form
    215,119,728/325,240,704 = 325,240,704/x
  3. Step 3: Cross multiply
    215,119,728x = 325,240,704 × 325,240,704
  4. Step 4: Simplify right side
    215,119,728x = 105,781,515,538,415,616
  5. Step 5: Solve for x
    x = 105,781,515,538,415,616/215,119,728
  6. Step 6: Final answer
    x = 491,733,215.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.