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Finding the Third Proportional to 81,584 and 180,664

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Solution

The third proportional to 81,584 and 180,664 is: 400,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,584 : 180,664 = 180,664 : x
  2. Step 2: Convert to fraction form
    81,584/180,664 = 180,664/x
  3. Step 3: Cross multiply
    81,584x = 180,664 × 180,664
  4. Step 4: Simplify right side
    81,584x = 32,639,480,896
  5. Step 5: Solve for x
    x = 32,639,480,896/81,584
  6. Step 6: Final answer
    x = 400,072.08

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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.