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Finding the Third Proportional to 12,996,225 and 20,205,105.75

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Solution

The third proportional to 12,996,225 and 20,205,105.75 is: 31,412,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996,225 : 20,205,105.75 = 20,205,105.75 : x
  2. Step 2: Convert to fraction form
    12,996,225/20,205,105.75 = 20,205,105.75/x
  3. Step 3: Cross multiply
    12,996,225x = 20,205,105.75 × 20,205,105.75
  4. Step 4: Simplify right side
    12,996,225x = 408,246,298,368,683.06
  5. Step 5: Solve for x
    x = 408,246,298,368,683.06/12,996,225
  6. Step 6: Final answer
    x = 31,412,683.17

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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.