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Finding the Third Proportional to 55,121 and 87,396

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Solution

The third proportional to 55,121 and 87,396 is: 138,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,121 : 87,396 = 87,396 : x
  2. Step 2: Convert to fraction form
    55,121/87,396 = 87,396/x
  3. Step 3: Cross multiply
    55,121x = 87,396 × 87,396
  4. Step 4: Simplify right side
    55,121x = 7,638,060,816
  5. Step 5: Solve for x
    x = 7,638,060,816/55,121
  6. Step 6: Final answer
    x = 138,568.98

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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.