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Finding the Third Proportional to 78,390 and 169,170

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Solution

The third proportional to 78,390 and 169,170 is: 365,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,390 : 169,170 = 169,170 : x
  2. Step 2: Convert to fraction form
    78,390/169,170 = 169,170/x
  3. Step 3: Cross multiply
    78,390x = 169,170 × 169,170
  4. Step 4: Simplify right side
    78,390x = 28,618,488,900
  5. Step 5: Solve for x
    x = 28,618,488,900/78,390
  6. Step 6: Final answer
    x = 365,078.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.