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Finding the Third Proportional to 13,199,782 and 21,003,659

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Solution

The third proportional to 13,199,782 and 21,003,659 is: 33,421,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199,782 : 21,003,659 = 21,003,659 : x
  2. Step 2: Convert to fraction form
    13,199,782/21,003,659 = 21,003,659/x
  3. Step 3: Cross multiply
    13,199,782x = 21,003,659 × 21,003,659
  4. Step 4: Simplify right side
    13,199,782x = 441,153,691,388,281
  5. Step 5: Solve for x
    x = 441,153,691,388,281/13,199,782
  6. Step 6: Final answer
    x = 33,421,286.15

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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.