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Finding the Third Proportional to 131,220 and 191,727

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Solution

The third proportional to 131,220 and 191,727 is: 280,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220 : 191,727 = 191,727 : x
  2. Step 2: Convert to fraction form
    131,220/191,727 = 191,727/x
  3. Step 3: Cross multiply
    131,220x = 191,727 × 191,727
  4. Step 4: Simplify right side
    131,220x = 36,759,242,529
  5. Step 5: Solve for x
    x = 36,759,242,529/131,220
  6. Step 6: Final answer
    x = 280,134.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.