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Finding the Third Proportional to 39,772 and 87,320

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Solution

The third proportional to 39,772 and 87,320 is: 191,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,772 : 87,320 = 87,320 : x
  2. Step 2: Convert to fraction form
    39,772/87,320 = 87,320/x
  3. Step 3: Cross multiply
    39,772x = 87,320 × 87,320
  4. Step 4: Simplify right side
    39,772x = 7,624,782,400
  5. Step 5: Solve for x
    x = 7,624,782,400/39,772
  6. Step 6: Final answer
    x = 191,712.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.