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Finding the Third Proportional to 13,259,009 and 20,456,237

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Solution

The third proportional to 13,259,009 and 20,456,237 is: 31,560,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259,009 : 20,456,237 = 20,456,237 : x
  2. Step 2: Convert to fraction form
    13,259,009/20,456,237 = 20,456,237/x
  3. Step 3: Cross multiply
    13,259,009x = 20,456,237 × 20,456,237
  4. Step 4: Simplify right side
    13,259,009x = 418,457,632,200,169
  5. Step 5: Solve for x
    x = 418,457,632,200,169/13,259,009
  6. Step 6: Final answer
    x = 31,560,249.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.