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Finding the Third Proportional to 9,150,778 and 13,420,311

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Solution

The third proportional to 9,150,778 and 13,420,311 is: 19,681,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150,778 : 13,420,311 = 13,420,311 : x
  2. Step 2: Convert to fraction form
    9,150,778/13,420,311 = 13,420,311/x
  3. Step 3: Cross multiply
    9,150,778x = 13,420,311 × 13,420,311
  4. Step 4: Simplify right side
    9,150,778x = 180,104,747,336,721
  5. Step 5: Solve for x
    x = 180,104,747,336,721/9,150,778
  6. Step 6: Final answer
    x = 19,681,905.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.