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Finding the Third Proportional to 12,996,013.50 and 20,204,797.50

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Solution

The third proportional to 12,996,013.50 and 20,204,797.50 is: 31,412,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996,013.50 : 20,204,797.50 = 20,204,797.50 : x
  2. Step 2: Convert to fraction form
    12,996,013.50/20,204,797.50 = 20,204,797.50/x
  3. Step 3: Cross multiply
    12,996,013.50x = 20,204,797.50 × 20,204,797.50
  4. Step 4: Simplify right side
    12,996,013.50x = 408,233,842,016,006.25
  5. Step 5: Solve for x
    x = 408,233,842,016,006.25/12,996,013.50
  6. Step 6: Final answer
    x = 31,412,235.91

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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.