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Finding the Third Proportional to 199,136 and 315,475

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Solution

The third proportional to 199,136 and 315,475 is: 499,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,136 : 315,475 = 315,475 : x
  2. Step 2: Convert to fraction form
    199,136/315,475 = 315,475/x
  3. Step 3: Cross multiply
    199,136x = 315,475 × 315,475
  4. Step 4: Simplify right side
    199,136x = 99,524,475,625
  5. Step 5: Solve for x
    x = 99,524,475,625/199,136
  6. Step 6: Final answer
    x = 499,781.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.