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Finding the Third Proportional to 12,469,810 and 19,857,257

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Solution

The third proportional to 12,469,810 and 19,857,257 is: 31,621,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469,810 : 19,857,257 = 19,857,257 : x
  2. Step 2: Convert to fraction form
    12,469,810/19,857,257 = 19,857,257/x
  3. Step 3: Cross multiply
    12,469,810x = 19,857,257 × 19,857,257
  4. Step 4: Simplify right side
    12,469,810x = 394,310,655,564,049
  5. Step 5: Solve for x
    x = 394,310,655,564,049/12,469,810
  6. Step 6: Final answer
    x = 31,621,224.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.