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Finding the Third Proportional to 91,760 and 129,218

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Solution

The third proportional to 91,760 and 129,218 is: 181,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760 : 129,218 = 129,218 : x
  2. Step 2: Convert to fraction form
    91,760/129,218 = 129,218/x
  3. Step 3: Cross multiply
    91,760x = 129,218 × 129,218
  4. Step 4: Simplify right side
    91,760x = 16,697,291,524
  5. Step 5: Solve for x
    x = 16,697,291,524/91,760
  6. Step 6: Final answer
    x = 181,967.00

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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.