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Finding the Third Proportional to 13,830,422 and 20,297,225

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Solution

The third proportional to 13,830,422 and 20,297,225 is: 29,787,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,422 : 20,297,225 = 20,297,225 : x
  2. Step 2: Convert to fraction form
    13,830,422/20,297,225 = 20,297,225/x
  3. Step 3: Cross multiply
    13,830,422x = 20,297,225 × 20,297,225
  4. Step 4: Simplify right side
    13,830,422x = 411,977,342,700,625
  5. Step 5: Solve for x
    x = 411,977,342,700,625/13,830,422
  6. Step 6: Final answer
    x = 29,787,763.72

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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.