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Finding the Third Proportional to 75,286 and 163,695

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Solution

The third proportional to 75,286 and 163,695 is: 355,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286 : 163,695 = 163,695 : x
  2. Step 2: Convert to fraction form
    75,286/163,695 = 163,695/x
  3. Step 3: Cross multiply
    75,286x = 163,695 × 163,695
  4. Step 4: Simplify right side
    75,286x = 26,796,053,025
  5. Step 5: Solve for x
    x = 26,796,053,025/75,286
  6. Step 6: Final answer
    x = 355,923.45

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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.