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Finding the Third Proportional to 12,933,987 and 20,289,631

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Solution

The third proportional to 12,933,987 and 20,289,631 is: 31,828,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933,987 : 20,289,631 = 20,289,631 : x
  2. Step 2: Convert to fraction form
    12,933,987/20,289,631 = 20,289,631/x
  3. Step 3: Cross multiply
    12,933,987x = 20,289,631 × 20,289,631
  4. Step 4: Simplify right side
    12,933,987x = 411,669,126,116,161
  5. Step 5: Solve for x
    x = 411,669,126,116,161/12,933,987
  6. Step 6: Final answer
    x = 31,828,478.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.