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Finding the Third Proportional to 192,045 and 290,721

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Solution

The third proportional to 192,045 and 290,721 is: 440,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,045 : 290,721 = 290,721 : x
  2. Step 2: Convert to fraction form
    192,045/290,721 = 290,721/x
  3. Step 3: Cross multiply
    192,045x = 290,721 × 290,721
  4. Step 4: Simplify right side
    192,045x = 84,518,699,841
  5. Step 5: Solve for x
    x = 84,518,699,841/192,045
  6. Step 6: Final answer
    x = 440,098.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.