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Finding the Third Proportional to 40,784 and 87,520

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Solution

The third proportional to 40,784 and 87,520 is: 187,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,784 : 87,520 = 87,520 : x
  2. Step 2: Convert to fraction form
    40,784/87,520 = 87,520/x
  3. Step 3: Cross multiply
    40,784x = 87,520 × 87,520
  4. Step 4: Simplify right side
    40,784x = 7,659,750,400
  5. Step 5: Solve for x
    x = 7,659,750,400/40,784
  6. Step 6: Final answer
    x = 187,812.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.