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Finding the Third Proportional to 78,372 and 169,214

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Solution

The third proportional to 78,372 and 169,214 is: 365,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372 : 169,214 = 169,214 : x
  2. Step 2: Convert to fraction form
    78,372/169,214 = 169,214/x
  3. Step 3: Cross multiply
    78,372x = 169,214 × 169,214
  4. Step 4: Simplify right side
    78,372x = 28,633,377,796
  5. Step 5: Solve for x
    x = 28,633,377,796/78,372
  6. Step 6: Final answer
    x = 365,352.14

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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.