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Finding the Third Proportional to 81,257 and 125,571

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Solution

The third proportional to 81,257 and 125,571 is: 194,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,257 : 125,571 = 125,571 : x
  2. Step 2: Convert to fraction form
    81,257/125,571 = 125,571/x
  3. Step 3: Cross multiply
    81,257x = 125,571 × 125,571
  4. Step 4: Simplify right side
    81,257x = 15,768,076,041
  5. Step 5: Solve for x
    x = 15,768,076,041/81,257
  6. Step 6: Final answer
    x = 194,051.91

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