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Finding the Third Proportional to 78,768 and 172,845

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Solution

The third proportional to 78,768 and 172,845 is: 379,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768 : 172,845 = 172,845 : x
  2. Step 2: Convert to fraction form
    78,768/172,845 = 172,845/x
  3. Step 3: Cross multiply
    78,768x = 172,845 × 172,845
  4. Step 4: Simplify right side
    78,768x = 29,875,394,025
  5. Step 5: Solve for x
    x = 29,875,394,025/78,768
  6. Step 6: Final answer
    x = 379,283.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.