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Finding the Third Proportional to 134,721 and 187,318

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Solution

The third proportional to 134,721 and 187,318 is: 260,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,721 : 187,318 = 187,318 : x
  2. Step 2: Convert to fraction form
    134,721/187,318 = 187,318/x
  3. Step 3: Cross multiply
    134,721x = 187,318 × 187,318
  4. Step 4: Simplify right side
    134,721x = 35,088,033,124
  5. Step 5: Solve for x
    x = 35,088,033,124/134,721
  6. Step 6: Final answer
    x = 260,449.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.