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Finding the Third Proportional to 13,829,897 and 20,296,435

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Solution

The third proportional to 13,829,897 and 20,296,435 is: 29,786,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829,897 : 20,296,435 = 20,296,435 : x
  2. Step 2: Convert to fraction form
    13,829,897/20,296,435 = 20,296,435/x
  3. Step 3: Cross multiply
    13,829,897x = 20,296,435 × 20,296,435
  4. Step 4: Simplify right side
    13,829,897x = 411,945,273,709,225
  5. Step 5: Solve for x
    x = 411,945,273,709,225/13,829,897
  6. Step 6: Final answer
    x = 29,786,575.69

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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.