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Finding the Third Proportional to 81,567 and 180,603

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Solution

The third proportional to 81,567 and 180,603 is: 399,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,567 : 180,603 = 180,603 : x
  2. Step 2: Convert to fraction form
    81,567/180,603 = 180,603/x
  3. Step 3: Cross multiply
    81,567x = 180,603 × 180,603
  4. Step 4: Simplify right side
    81,567x = 32,617,443,609
  5. Step 5: Solve for x
    x = 32,617,443,609/81,567
  6. Step 6: Final answer
    x = 399,885.29

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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.