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Finding the Third Proportional to 83,052 and 181,328

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Solution

The third proportional to 83,052 and 181,328 is: 395,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052 : 181,328 = 181,328 : x
  2. Step 2: Convert to fraction form
    83,052/181,328 = 181,328/x
  3. Step 3: Cross multiply
    83,052x = 181,328 × 181,328
  4. Step 4: Simplify right side
    83,052x = 32,879,843,584
  5. Step 5: Solve for x
    x = 32,879,843,584/83,052
  6. Step 6: Final answer
    x = 395,894.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.