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Finding the Third Proportional to 131,415 and 196,959

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Solution

The third proportional to 131,415 and 196,959 is: 295,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,415 : 196,959 = 196,959 : x
  2. Step 2: Convert to fraction form
    131,415/196,959 = 196,959/x
  3. Step 3: Cross multiply
    131,415x = 196,959 × 196,959
  4. Step 4: Simplify right side
    131,415x = 38,792,847,681
  5. Step 5: Solve for x
    x = 38,792,847,681/131,415
  6. Step 6: Final answer
    x = 295,193.45

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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.