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Finding the Third Proportional to 78,860 and 170,844

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Solution

The third proportional to 78,860 and 170,844 is: 370,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,860 : 170,844 = 170,844 : x
  2. Step 2: Convert to fraction form
    78,860/170,844 = 170,844/x
  3. Step 3: Cross multiply
    78,860x = 170,844 × 170,844
  4. Step 4: Simplify right side
    78,860x = 29,187,672,336
  5. Step 5: Solve for x
    x = 29,187,672,336/78,860
  6. Step 6: Final answer
    x = 370,120.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.