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Finding the Third Proportional to 189,378,832 and 407,521,088

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Solution

The third proportional to 189,378,832 and 407,521,088 is: 876,937,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,378,832 : 407,521,088 = 407,521,088 : x
  2. Step 2: Convert to fraction form
    189,378,832/407,521,088 = 407,521,088/x
  3. Step 3: Cross multiply
    189,378,832x = 407,521,088 × 407,521,088
  4. Step 4: Simplify right side
    189,378,832x = 166,073,437,164,703,744
  5. Step 5: Solve for x
    x = 166,073,437,164,703,744/189,378,832
  6. Step 6: Final answer
    x = 876,937,698.95

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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.