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Finding the Third Proportional to 189,079,992 and 411,288,660

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Solution

The third proportional to 189,079,992 and 411,288,660 is: 894,639,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,079,992 : 411,288,660 = 411,288,660 : x
  2. Step 2: Convert to fraction form
    189,079,992/411,288,660 = 411,288,660/x
  3. Step 3: Cross multiply
    189,079,992x = 411,288,660 × 411,288,660
  4. Step 4: Simplify right side
    189,079,992x = 169,158,361,844,595,584
  5. Step 5: Solve for x
    x = 169,158,361,844,595,584/189,079,992
  6. Step 6: Final answer
    x = 894,639,142.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.