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Finding the Third Proportional to 20,205,474 and 43,212,649.50

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Solution

The third proportional to 20,205,474 and 43,212,649.50 is: 92,417,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205,474 : 43,212,649.50 = 43,212,649.50 : x
  2. Step 2: Convert to fraction form
    20,205,474/43,212,649.50 = 43,212,649.50/x
  3. Step 3: Cross multiply
    20,205,474x = 43,212,649.50 × 43,212,649.50
  4. Step 4: Simplify right side
    20,205,474x = 1,867,333,076,809,850.25
  5. Step 5: Solve for x
    x = 1,867,333,076,809,850.25/20,205,474
  6. Step 6: Final answer
    x = 92,417,187.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.