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Finding the Third Proportional to 987,136 and 2,143,408

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Solution

The third proportional to 987,136 and 2,143,408 is: 4,654,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,136 : 2,143,408 = 2,143,408 : x
  2. Step 2: Convert to fraction form
    987,136/2,143,408 = 2,143,408/x
  3. Step 3: Cross multiply
    987,136x = 2,143,408 × 2,143,408
  4. Step 4: Simplify right side
    987,136x = 4,594,197,854,464
  5. Step 5: Solve for x
    x = 4,594,197,854,464/987,136
  6. Step 6: Final answer
    x = 4,654,067.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.