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Finding the Third Proportional to 78,165 and 170,910

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Solution

The third proportional to 78,165 and 170,910 is: 373,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165 : 170,910 = 170,910 : x
  2. Step 2: Convert to fraction form
    78,165/170,910 = 170,910/x
  3. Step 3: Cross multiply
    78,165x = 170,910 × 170,910
  4. Step 4: Simplify right side
    78,165x = 29,210,228,100
  5. Step 5: Solve for x
    x = 29,210,228,100/78,165
  6. Step 6: Final answer
    x = 373,699.59

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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.