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Finding the Third Proportional to 55,910 and 84,255

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Solution

The third proportional to 55,910 and 84,255 is: 126,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,910 : 84,255 = 84,255 : x
  2. Step 2: Convert to fraction form
    55,910/84,255 = 84,255/x
  3. Step 3: Cross multiply
    55,910x = 84,255 × 84,255
  4. Step 4: Simplify right side
    55,910x = 7,098,905,025
  5. Step 5: Solve for x
    x = 7,098,905,025/55,910
  6. Step 6: Final answer
    x = 126,970.22

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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.