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Finding the Third Proportional to 79,545 and 173,109

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Solution

The third proportional to 79,545 and 173,109 is: 376,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,545 : 173,109 = 173,109 : x
  2. Step 2: Convert to fraction form
    79,545/173,109 = 173,109/x
  3. Step 3: Cross multiply
    79,545x = 173,109 × 173,109
  4. Step 4: Simplify right side
    79,545x = 29,966,725,881
  5. Step 5: Solve for x
    x = 29,966,725,881/79,545
  6. Step 6: Final answer
    x = 376,726.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.