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Finding the Third Proportional to 78,079 and 169,270

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Solution

The third proportional to 78,079 and 169,270 is: 366,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,079 : 169,270 = 169,270 : x
  2. Step 2: Convert to fraction form
    78,079/169,270 = 169,270/x
  3. Step 3: Cross multiply
    78,079x = 169,270 × 169,270
  4. Step 4: Simplify right side
    78,079x = 28,652,332,900
  5. Step 5: Solve for x
    x = 28,652,332,900/78,079
  6. Step 6: Final answer
    x = 366,965.93

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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.