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Finding the Third Proportional to 73,246 and 109,880

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Solution

The third proportional to 73,246 and 109,880 is: 164,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,246 : 109,880 = 109,880 : x
  2. Step 2: Convert to fraction form
    73,246/109,880 = 109,880/x
  3. Step 3: Cross multiply
    73,246x = 109,880 × 109,880
  4. Step 4: Simplify right side
    73,246x = 12,073,614,400
  5. Step 5: Solve for x
    x = 12,073,614,400/73,246
  6. Step 6: Final answer
    x = 164,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.