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Finding the Third Proportional to 71,284 and 103,758

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Solution

The third proportional to 71,284 and 103,758 is: 151,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284 : 103,758 = 103,758 : x
  2. Step 2: Convert to fraction form
    71,284/103,758 = 103,758/x
  3. Step 3: Cross multiply
    71,284x = 103,758 × 103,758
  4. Step 4: Simplify right side
    71,284x = 10,765,722,564
  5. Step 5: Solve for x
    x = 10,765,722,564/71,284
  6. Step 6: Final answer
    x = 151,025.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.