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Finding the Third Proportional to 55,900 and 84,374

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Solution

The third proportional to 55,900 and 84,374 is: 127,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,900 : 84,374 = 84,374 : x
  2. Step 2: Convert to fraction form
    55,900/84,374 = 84,374/x
  3. Step 3: Cross multiply
    55,900x = 84,374 × 84,374
  4. Step 4: Simplify right side
    55,900x = 7,118,971,876
  5. Step 5: Solve for x
    x = 7,118,971,876/55,900
  6. Step 6: Final answer
    x = 127,351.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.