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Finding the Third Proportional to 81,580 and 180,656

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Solution

The third proportional to 81,580 and 180,656 is: 400,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,580 : 180,656 = 180,656 : x
  2. Step 2: Convert to fraction form
    81,580/180,656 = 180,656/x
  3. Step 3: Cross multiply
    81,580x = 180,656 × 180,656
  4. Step 4: Simplify right side
    81,580x = 32,636,590,336
  5. Step 5: Solve for x
    x = 32,636,590,336/81,580
  6. Step 6: Final answer
    x = 400,056.27

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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.