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Finding the Third Proportional to 45,512 and 104,420

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Solution

The third proportional to 45,512 and 104,420 is: 239,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,512 : 104,420 = 104,420 : x
  2. Step 2: Convert to fraction form
    45,512/104,420 = 104,420/x
  3. Step 3: Cross multiply
    45,512x = 104,420 × 104,420
  4. Step 4: Simplify right side
    45,512x = 10,903,536,400
  5. Step 5: Solve for x
    x = 10,903,536,400/45,512
  6. Step 6: Final answer
    x = 239,574.98

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.