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Finding the Third Proportional to 81,434 and 180,364

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Solution

The third proportional to 81,434 and 180,364 is: 399,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,434 : 180,364 = 180,364 : x
  2. Step 2: Convert to fraction form
    81,434/180,364 = 180,364/x
  3. Step 3: Cross multiply
    81,434x = 180,364 × 180,364
  4. Step 4: Simplify right side
    81,434x = 32,531,172,496
  5. Step 5: Solve for x
    x = 32,531,172,496/81,434
  6. Step 6: Final answer
    x = 399,479.00

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.