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Finding the Third Proportional to 199,180 and 315,342

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Solution

The third proportional to 199,180 and 315,342 is: 499,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,180 : 315,342 = 315,342 : x
  2. Step 2: Convert to fraction form
    199,180/315,342 = 315,342/x
  3. Step 3: Cross multiply
    199,180x = 315,342 × 315,342
  4. Step 4: Simplify right side
    199,180x = 99,440,576,964
  5. Step 5: Solve for x
    x = 99,440,576,964/199,180
  6. Step 6: Final answer
    x = 499,249.81

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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.