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Finding the Third Proportional to 189,378,684 and 407,520,792

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Solution

The third proportional to 189,378,684 and 407,520,792 is: 876,937,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,378,684 : 407,520,792 = 407,520,792 : x
  2. Step 2: Convert to fraction form
    189,378,684/407,520,792 = 407,520,792/x
  3. Step 3: Cross multiply
    189,378,684x = 407,520,792 × 407,520,792
  4. Step 4: Simplify right side
    189,378,684x = 166,073,195,912,307,264
  5. Step 5: Solve for x
    x = 166,073,195,912,307,264/189,378,684
  6. Step 6: Final answer
    x = 876,937,110.37

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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.