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Finding the Third Proportional to 108,588 and 172,356

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Solution

The third proportional to 108,588 and 172,356 is: 273,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,588 : 172,356 = 172,356 : x
  2. Step 2: Convert to fraction form
    108,588/172,356 = 172,356/x
  3. Step 3: Cross multiply
    108,588x = 172,356 × 172,356
  4. Step 4: Simplify right side
    108,588x = 29,706,590,736
  5. Step 5: Solve for x
    x = 29,706,590,736/108,588
  6. Step 6: Final answer
    x = 273,571.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.