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Finding the Third Proportional to 81,528 and 180,546

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Solution

The third proportional to 81,528 and 180,546 is: 399,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,528 : 180,546 = 180,546 : x
  2. Step 2: Convert to fraction form
    81,528/180,546 = 180,546/x
  3. Step 3: Cross multiply
    81,528x = 180,546 × 180,546
  4. Step 4: Simplify right side
    81,528x = 32,596,858,116
  5. Step 5: Solve for x
    x = 32,596,858,116/81,528
  6. Step 6: Final answer
    x = 399,824.09

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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.