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Finding the Third Proportional to 45,340 and 105,400

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Solution

The third proportional to 45,340 and 105,400 is: 245,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,340 : 105,400 = 105,400 : x
  2. Step 2: Convert to fraction form
    45,340/105,400 = 105,400/x
  3. Step 3: Cross multiply
    45,340x = 105,400 × 105,400
  4. Step 4: Simplify right side
    45,340x = 11,109,160,000
  5. Step 5: Solve for x
    x = 11,109,160,000/45,340
  6. Step 6: Final answer
    x = 245,018.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.