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Finding the Third Proportional to 81,577 and 180,623

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Solution

The third proportional to 81,577 and 180,623 is: 399,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,577 : 180,623 = 180,623 : x
  2. Step 2: Convert to fraction form
    81,577/180,623 = 180,623/x
  3. Step 3: Cross multiply
    81,577x = 180,623 × 180,623
  4. Step 4: Simplify right side
    81,577x = 32,624,668,129
  5. Step 5: Solve for x
    x = 32,624,668,129/81,577
  6. Step 6: Final answer
    x = 399,924.83

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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.