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Finding the Third Proportional to 72,603 and 159,918

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Solution

The third proportional to 72,603 and 159,918 is: 352,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,603 : 159,918 = 159,918 : x
  2. Step 2: Convert to fraction form
    72,603/159,918 = 159,918/x
  3. Step 3: Cross multiply
    72,603x = 159,918 × 159,918
  4. Step 4: Simplify right side
    72,603x = 25,573,766,724
  5. Step 5: Solve for x
    x = 25,573,766,724/72,603
  6. Step 6: Final answer
    x = 352,241.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.