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Finding the Third Proportional to 81,572 and 180,612

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Solution

The third proportional to 81,572 and 180,612 is: 399,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,572 : 180,612 = 180,612 : x
  2. Step 2: Convert to fraction form
    81,572/180,612 = 180,612/x
  3. Step 3: Cross multiply
    81,572x = 180,612 × 180,612
  4. Step 4: Simplify right side
    81,572x = 32,620,694,544
  5. Step 5: Solve for x
    x = 32,620,694,544/81,572
  6. Step 6: Final answer
    x = 399,900.63

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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.