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Finding the Third Proportional to 218,267,380.50 and 465,108,022.50

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Solution

The third proportional to 218,267,380.50 and 465,108,022.50 is: 991,103,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,267,380.50 : 465,108,022.50 = 465,108,022.50 : x
  2. Step 2: Convert to fraction form
    218,267,380.50/465,108,022.50 = 465,108,022.50/x
  3. Step 3: Cross multiply
    218,267,380.50x = 465,108,022.50 × 465,108,022.50
  4. Step 4: Simplify right side
    218,267,380.50x = 216,325,472,593,860,512
  5. Step 5: Solve for x
    x = 216,325,472,593,860,512/218,267,380.50
  6. Step 6: Final answer
    x = 991,103,077.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.