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Finding the Third Proportional to 12,996,102 and 20,204,914.50

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Solution

The third proportional to 12,996,102 and 20,204,914.50 is: 31,412,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996,102 : 20,204,914.50 = 20,204,914.50 : x
  2. Step 2: Convert to fraction form
    12,996,102/20,204,914.50 = 20,204,914.50/x
  3. Step 3: Cross multiply
    12,996,102x = 20,204,914.50 × 20,204,914.50
  4. Step 4: Simplify right side
    12,996,102x = 408,238,569,952,310.25
  5. Step 5: Solve for x
    x = 408,238,569,952,310.25/12,996,102
  6. Step 6: Final answer
    x = 31,412,385.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.