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Finding the Third Proportional to 20,847 and 30,154.50

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Solution

The third proportional to 20,847 and 30,154.50 is: 43,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847 : 30,154.50 = 30,154.50 : x
  2. Step 2: Convert to fraction form
    20,847/30,154.50 = 30,154.50/x
  3. Step 3: Cross multiply
    20,847x = 30,154.50 × 30,154.50
  4. Step 4: Simplify right side
    20,847x = 909,293,870.25
  5. Step 5: Solve for x
    x = 909,293,870.25/20,847
  6. Step 6: Final answer
    x = 43,617.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.