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Finding the Third Proportional to 87,551 and 135,827

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Solution

The third proportional to 87,551 and 135,827 is: 210,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,551 : 135,827 = 135,827 : x
  2. Step 2: Convert to fraction form
    87,551/135,827 = 135,827/x
  3. Step 3: Cross multiply
    87,551x = 135,827 × 135,827
  4. Step 4: Simplify right side
    87,551x = 18,448,973,929
  5. Step 5: Solve for x
    x = 18,448,973,929/87,551
  6. Step 6: Final answer
    x = 210,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.