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Finding the Third Proportional to 13,202,919 and 20,196,671.63

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Solution

The third proportional to 13,202,919 and 20,196,671.63 is: 30,895,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202,919 : 20,196,671.63 = 20,196,671.63 : x
  2. Step 2: Convert to fraction form
    13,202,919/20,196,671.63 = 20,196,671.63/x
  3. Step 3: Cross multiply
    13,202,919x = 20,196,671.63 × 20,196,671.63
  4. Step 4: Simplify right side
    13,202,919x = 407,905,544,728,080.12
  5. Step 5: Solve for x
    x = 407,905,544,728,080.12/13,202,919
  6. Step 6: Final answer
    x = 30,895,103.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.