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Finding the Third Proportional to 320,344 and 486,136

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Solution

The third proportional to 320,344 and 486,136 is: 737,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,344 : 486,136 = 486,136 : x
  2. Step 2: Convert to fraction form
    320,344/486,136 = 486,136/x
  3. Step 3: Cross multiply
    320,344x = 486,136 × 486,136
  4. Step 4: Simplify right side
    320,344x = 236,328,210,496
  5. Step 5: Solve for x
    x = 236,328,210,496/320,344
  6. Step 6: Final answer
    x = 737,732.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.