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Finding the Third Proportional to 13,199,778 and 21,003,651

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Solution

The third proportional to 13,199,778 and 21,003,651 is: 33,421,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199,778 : 21,003,651 = 21,003,651 : x
  2. Step 2: Convert to fraction form
    13,199,778/21,003,651 = 21,003,651/x
  3. Step 3: Cross multiply
    13,199,778x = 21,003,651 × 21,003,651
  4. Step 4: Simplify right side
    13,199,778x = 441,153,355,329,801
  5. Step 5: Solve for x
    x = 441,153,355,329,801/13,199,778
  6. Step 6: Final answer
    x = 33,421,270.82

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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.