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Finding the Third Proportional to 189,207,234 and 407,947,716

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Solution

The third proportional to 189,207,234 and 407,947,716 is: 879,571,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,207,234 : 407,947,716 = 407,947,716 : x
  2. Step 2: Convert to fraction form
    189,207,234/407,947,716 = 407,947,716/x
  3. Step 3: Cross multiply
    189,207,234x = 407,947,716 × 407,947,716
  4. Step 4: Simplify right side
    189,207,234x = 166,421,338,989,616,640
  5. Step 5: Solve for x
    x = 166,421,338,989,616,640/189,207,234
  6. Step 6: Final answer
    x = 879,571,755.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.