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Finding the Third Proportional to 87,302 and 169,318

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Solution

The third proportional to 87,302 and 169,318 is: 328,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,302 : 169,318 = 169,318 : x
  2. Step 2: Convert to fraction form
    87,302/169,318 = 169,318/x
  3. Step 3: Cross multiply
    87,302x = 169,318 × 169,318
  4. Step 4: Simplify right side
    87,302x = 28,668,585,124
  5. Step 5: Solve for x
    x = 28,668,585,124/87,302
  6. Step 6: Final answer
    x = 328,384.06

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.