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Finding the Third Proportional to 131,218 and 196,791

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Solution

The third proportional to 131,218 and 196,791 is: 295,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,218 : 196,791 = 196,791 : x
  2. Step 2: Convert to fraction form
    131,218/196,791 = 196,791/x
  3. Step 3: Cross multiply
    131,218x = 196,791 × 196,791
  4. Step 4: Simplify right side
    131,218x = 38,726,697,681
  5. Step 5: Solve for x
    x = 38,726,697,681/131,218
  6. Step 6: Final answer
    x = 295,132.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.