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Finding the Third Proportional to 8,199,472 and 17,938,809

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Solution

The third proportional to 8,199,472 and 17,938,809 is: 39,246,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199,472 : 17,938,809 = 17,938,809 : x
  2. Step 2: Convert to fraction form
    8,199,472/17,938,809 = 17,938,809/x
  3. Step 3: Cross multiply
    8,199,472x = 17,938,809 × 17,938,809
  4. Step 4: Simplify right side
    8,199,472x = 321,800,868,338,481
  5. Step 5: Solve for x
    x = 321,800,868,338,481/8,199,472
  6. Step 6: Final answer
    x = 39,246,535.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.