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Finding the Third Proportional to 84,422,763.50 and 126,137,149.50

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Solution

The third proportional to 84,422,763.50 and 126,137,149.50 is: 188,463,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422,763.50 : 126,137,149.50 = 126,137,149.50 : x
  2. Step 2: Convert to fraction form
    84,422,763.50/126,137,149.50 = 126,137,149.50/x
  3. Step 3: Cross multiply
    84,422,763.50x = 126,137,149.50 × 126,137,149.50
  4. Step 4: Simplify right side
    84,422,763.50x = 15,910,580,483,985,350
  5. Step 5: Solve for x
    x = 15,910,580,483,985,350/84,422,763.50
  6. Step 6: Final answer
    x = 188,463,156.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.