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Finding the Third Proportional to 78,105 and 170,344

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Solution

The third proportional to 78,105 and 170,344 is: 371,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,105 : 170,344 = 170,344 : x
  2. Step 2: Convert to fraction form
    78,105/170,344 = 170,344/x
  3. Step 3: Cross multiply
    78,105x = 170,344 × 170,344
  4. Step 4: Simplify right side
    78,105x = 29,017,078,336
  5. Step 5: Solve for x
    x = 29,017,078,336/78,105
  6. Step 6: Final answer
    x = 371,513.71

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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.