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Finding the Third Proportional to 71,110 and 149,054

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Solution

The third proportional to 71,110 and 149,054 is: 312,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,110 : 149,054 = 149,054 : x
  2. Step 2: Convert to fraction form
    71,110/149,054 = 149,054/x
  3. Step 3: Cross multiply
    71,110x = 149,054 × 149,054
  4. Step 4: Simplify right side
    71,110x = 22,217,094,916
  5. Step 5: Solve for x
    x = 22,217,094,916/71,110
  6. Step 6: Final answer
    x = 312,432.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.