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Finding the Third Proportional to 189,117,920 and 414,107,680

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Solution

The third proportional to 189,117,920 and 414,107,680 is: 906,763,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,117,920 : 414,107,680 = 414,107,680 : x
  2. Step 2: Convert to fraction form
    189,117,920/414,107,680 = 414,107,680/x
  3. Step 3: Cross multiply
    189,117,920x = 414,107,680 × 414,107,680
  4. Step 4: Simplify right side
    189,117,920x = 171,485,170,634,982,400
  5. Step 5: Solve for x
    x = 171,485,170,634,982,400/189,117,920
  6. Step 6: Final answer
    x = 906,763,201.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.