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Finding the Third Proportional to 75,625 and 159,044

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Solution

The third proportional to 75,625 and 159,044 is: 334,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,625 : 159,044 = 159,044 : x
  2. Step 2: Convert to fraction form
    75,625/159,044 = 159,044/x
  3. Step 3: Cross multiply
    75,625x = 159,044 × 159,044
  4. Step 4: Simplify right side
    75,625x = 25,294,993,936
  5. Step 5: Solve for x
    x = 25,294,993,936/75,625
  6. Step 6: Final answer
    x = 334,479.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.