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Finding the Third Proportional to 55,211 and 87,566

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Solution

The third proportional to 55,211 and 87,566 is: 138,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,211 : 87,566 = 87,566 : x
  2. Step 2: Convert to fraction form
    55,211/87,566 = 87,566/x
  3. Step 3: Cross multiply
    55,211x = 87,566 × 87,566
  4. Step 4: Simplify right side
    55,211x = 7,667,804,356
  5. Step 5: Solve for x
    x = 7,667,804,356/55,211
  6. Step 6: Final answer
    x = 138,881.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.