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Finding the Third Proportional to 81,491 and 180,478

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Solution

The third proportional to 81,491 and 180,478 is: 399,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,491 : 180,478 = 180,478 : x
  2. Step 2: Convert to fraction form
    81,491/180,478 = 180,478/x
  3. Step 3: Cross multiply
    81,491x = 180,478 × 180,478
  4. Step 4: Simplify right side
    81,491x = 32,572,308,484
  5. Step 5: Solve for x
    x = 32,572,308,484/81,491
  6. Step 6: Final answer
    x = 399,704.37

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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.