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Finding the Third Proportional to 81,569 and 180,607

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Solution

The third proportional to 81,569 and 180,607 is: 399,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,569 : 180,607 = 180,607 : x
  2. Step 2: Convert to fraction form
    81,569/180,607 = 180,607/x
  3. Step 3: Cross multiply
    81,569x = 180,607 × 180,607
  4. Step 4: Simplify right side
    81,569x = 32,618,888,449
  5. Step 5: Solve for x
    x = 32,618,888,449/81,569
  6. Step 6: Final answer
    x = 399,893.20

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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.