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Finding the Third Proportional to 55,900 and 87,253

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Solution

The third proportional to 55,900 and 87,253 is: 136,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,900 : 87,253 = 87,253 : x
  2. Step 2: Convert to fraction form
    55,900/87,253 = 87,253/x
  3. Step 3: Cross multiply
    55,900x = 87,253 × 87,253
  4. Step 4: Simplify right side
    55,900x = 7,613,086,009
  5. Step 5: Solve for x
    x = 7,613,086,009/55,900
  6. Step 6: Final answer
    x = 136,191.16

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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.