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Finding the Third Proportional to 55,928 and 87,276

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Solution

The third proportional to 55,928 and 87,276 is: 136,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928 : 87,276 = 87,276 : x
  2. Step 2: Convert to fraction form
    55,928/87,276 = 87,276/x
  3. Step 3: Cross multiply
    55,928x = 87,276 × 87,276
  4. Step 4: Simplify right side
    55,928x = 7,617,100,176
  5. Step 5: Solve for x
    x = 7,617,100,176/55,928
  6. Step 6: Final answer
    x = 136,194.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.