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Finding the Third Proportional to 643,512 and 1,496,136

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Solution

The third proportional to 643,512 and 1,496,136 is: 3,478,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,512 : 1,496,136 = 1,496,136 : x
  2. Step 2: Convert to fraction form
    643,512/1,496,136 = 1,496,136/x
  3. Step 3: Cross multiply
    643,512x = 1,496,136 × 1,496,136
  4. Step 4: Simplify right side
    643,512x = 2,238,422,930,496
  5. Step 5: Solve for x
    x = 2,238,422,930,496/643,512
  6. Step 6: Final answer
    x = 3,478,447.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.