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Finding the Third Proportional to 33,460 and 40,948

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Solution

The third proportional to 33,460 and 40,948 is: 50,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,460 : 40,948 = 40,948 : x
  2. Step 2: Convert to fraction form
    33,460/40,948 = 40,948/x
  3. Step 3: Cross multiply
    33,460x = 40,948 × 40,948
  4. Step 4: Simplify right side
    33,460x = 1,676,738,704
  5. Step 5: Solve for x
    x = 1,676,738,704/33,460
  6. Step 6: Final answer
    x = 50,111.74

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.