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Finding the Third Proportional to 13,829,072 and 20,295,122

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Solution

The third proportional to 13,829,072 and 20,295,122 is: 29,784,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829,072 : 20,295,122 = 20,295,122 : x
  2. Step 2: Convert to fraction form
    13,829,072/20,295,122 = 20,295,122/x
  3. Step 3: Cross multiply
    13,829,072x = 20,295,122 × 20,295,122
  4. Step 4: Simplify right side
    13,829,072x = 411,891,976,994,884
  5. Step 5: Solve for x
    x = 411,891,976,994,884/13,829,072
  6. Step 6: Final answer
    x = 29,784,498.70

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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.