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Finding the Third Proportional to 131,724 and 198,747

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Solution

The third proportional to 131,724 and 198,747 is: 299,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724 : 198,747 = 198,747 : x
  2. Step 2: Convert to fraction form
    131,724/198,747 = 198,747/x
  3. Step 3: Cross multiply
    131,724x = 198,747 × 198,747
  4. Step 4: Simplify right side
    131,724x = 39,500,370,009
  5. Step 5: Solve for x
    x = 39,500,370,009/131,724
  6. Step 6: Final answer
    x = 299,872.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.