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Finding the Third Proportional to 26,678 and 72,581

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Solution

The third proportional to 26,678 and 72,581 is: 197,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678 : 72,581 = 72,581 : x
  2. Step 2: Convert to fraction form
    26,678/72,581 = 72,581/x
  3. Step 3: Cross multiply
    26,678x = 72,581 × 72,581
  4. Step 4: Simplify right side
    26,678x = 5,268,001,561
  5. Step 5: Solve for x
    x = 5,268,001,561/26,678
  6. Step 6: Final answer
    x = 197,466.14

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.