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Finding the Third Proportional to 4,209,408 and 9,206,136

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Solution

The third proportional to 4,209,408 and 9,206,136 is: 20,134,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,408 : 9,206,136 = 9,206,136 : x
  2. Step 2: Convert to fraction form
    4,209,408/9,206,136 = 9,206,136/x
  3. Step 3: Cross multiply
    4,209,408x = 9,206,136 × 9,206,136
  4. Step 4: Simplify right side
    4,209,408x = 84,752,940,050,496
  5. Step 5: Solve for x
    x = 84,752,940,050,496/4,209,408
  6. Step 6: Final answer
    x = 20,134,170.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.