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Finding the Third Proportional to 47,920 and 103,985

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Solution

The third proportional to 47,920 and 103,985 is: 225,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,920 : 103,985 = 103,985 : x
  2. Step 2: Convert to fraction form
    47,920/103,985 = 103,985/x
  3. Step 3: Cross multiply
    47,920x = 103,985 × 103,985
  4. Step 4: Simplify right side
    47,920x = 10,812,880,225
  5. Step 5: Solve for x
    x = 10,812,880,225/47,920
  6. Step 6: Final answer
    x = 225,644.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.