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Finding the Third Proportional to 91,760 and 129,219

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Solution

The third proportional to 91,760 and 129,219 is: 181,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760 : 129,219 = 129,219 : x
  2. Step 2: Convert to fraction form
    91,760/129,219 = 129,219/x
  3. Step 3: Cross multiply
    91,760x = 129,219 × 129,219
  4. Step 4: Simplify right side
    91,760x = 16,697,549,961
  5. Step 5: Solve for x
    x = 16,697,549,961/91,760
  6. Step 6: Final answer
    x = 181,969.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.