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Finding the Third Proportional to 79,550 and 171,555

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Solution

The third proportional to 79,550 and 171,555 is: 369,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,550 : 171,555 = 171,555 : x
  2. Step 2: Convert to fraction form
    79,550/171,555 = 171,555/x
  3. Step 3: Cross multiply
    79,550x = 171,555 × 171,555
  4. Step 4: Simplify right side
    79,550x = 29,431,118,025
  5. Step 5: Solve for x
    x = 29,431,118,025/79,550
  6. Step 6: Final answer
    x = 369,970.06

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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.