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Finding the Third Proportional to 84,380,143.50 and 126,794,882.25

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Solution

The third proportional to 84,380,143.50 and 126,794,882.25 is: 190,529,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380,143.50 : 126,794,882.25 = 126,794,882.25 : x
  2. Step 2: Convert to fraction form
    84,380,143.50/126,794,882.25 = 126,794,882.25/x
  3. Step 3: Cross multiply
    84,380,143.50x = 126,794,882.25 × 126,794,882.25
  4. Step 4: Simplify right side
    84,380,143.50x = 16,076,942,164,791,366
  5. Step 5: Solve for x
    x = 16,076,942,164,791,366/84,380,143.50
  6. Step 6: Final answer
    x = 190,529,922.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.