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Finding the Third Proportional to 13,830,427 and 20,297,230

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Solution

The third proportional to 13,830,427 and 20,297,230 is: 29,787,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,427 : 20,297,230 = 20,297,230 : x
  2. Step 2: Convert to fraction form
    13,830,427/20,297,230 = 20,297,230/x
  3. Step 3: Cross multiply
    13,830,427x = 20,297,230 × 20,297,230
  4. Step 4: Simplify right side
    13,830,427x = 411,977,545,672,900
  5. Step 5: Solve for x
    x = 411,977,545,672,900/13,830,427
  6. Step 6: Final answer
    x = 29,787,767.63

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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.