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Finding the Third Proportional to 81,943 and 173,486

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Solution

The third proportional to 81,943 and 173,486 is: 367,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,943 : 173,486 = 173,486 : x
  2. Step 2: Convert to fraction form
    81,943/173,486 = 173,486/x
  3. Step 3: Cross multiply
    81,943x = 173,486 × 173,486
  4. Step 4: Simplify right side
    81,943x = 30,097,392,196
  5. Step 5: Solve for x
    x = 30,097,392,196/81,943
  6. Step 6: Final answer
    x = 367,296.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.