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Finding the Third Proportional to 12,996,228.75 and 20,205,111.75

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Solution

The third proportional to 12,996,228.75 and 20,205,111.75 is: 31,412,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996,228.75 : 20,205,111.75 = 20,205,111.75 : x
  2. Step 2: Convert to fraction form
    12,996,228.75/20,205,111.75 = 20,205,111.75/x
  3. Step 3: Cross multiply
    12,996,228.75x = 20,205,111.75 × 20,205,111.75
  4. Step 4: Simplify right side
    12,996,228.75x = 408,246,540,829,988.06
  5. Step 5: Solve for x
    x = 408,246,540,829,988.06/12,996,228.75
  6. Step 6: Final answer
    x = 31,412,692.77

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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.