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Finding the Third Proportional to 45,978 and 70,305

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Solution

The third proportional to 45,978 and 70,305 is: 107,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,978 : 70,305 = 70,305 : x
  2. Step 2: Convert to fraction form
    45,978/70,305 = 70,305/x
  3. Step 3: Cross multiply
    45,978x = 70,305 × 70,305
  4. Step 4: Simplify right side
    45,978x = 4,942,793,025
  5. Step 5: Solve for x
    x = 4,942,793,025/45,978
  6. Step 6: Final answer
    x = 107,503.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.