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Finding the Third Proportional to 131,418 and 199,724

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Solution

The third proportional to 131,418 and 199,724 is: 303,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,418 : 199,724 = 199,724 : x
  2. Step 2: Convert to fraction form
    131,418/199,724 = 199,724/x
  3. Step 3: Cross multiply
    131,418x = 199,724 × 199,724
  4. Step 4: Simplify right side
    131,418x = 39,889,676,176
  5. Step 5: Solve for x
    x = 39,889,676,176/131,418
  6. Step 6: Final answer
    x = 303,532.82

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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.