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Finding the Third Proportional to 77,279 and 169,321

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Solution

The third proportional to 77,279 and 169,321 is: 370,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279 : 169,321 = 169,321 : x
  2. Step 2: Convert to fraction form
    77,279/169,321 = 169,321/x
  3. Step 3: Cross multiply
    77,279x = 169,321 × 169,321
  4. Step 4: Simplify right side
    77,279x = 28,669,601,041
  5. Step 5: Solve for x
    x = 28,669,601,041/77,279
  6. Step 6: Final answer
    x = 370,988.25

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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.