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Finding the Third Proportional to 131,714 and 198,707

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Solution

The third proportional to 131,714 and 198,707 is: 299,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,714 : 198,707 = 198,707 : x
  2. Step 2: Convert to fraction form
    131,714/198,707 = 198,707/x
  3. Step 3: Cross multiply
    131,714x = 198,707 × 198,707
  4. Step 4: Simplify right side
    131,714x = 39,484,471,849
  5. Step 5: Solve for x
    x = 39,484,471,849/131,714
  6. Step 6: Final answer
    x = 299,774.30

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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.