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Finding the Third Proportional to 20,025 and 30,991.50

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Solution

The third proportional to 20,025 and 30,991.50 is: 47,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,025 : 30,991.50 = 30,991.50 : x
  2. Step 2: Convert to fraction form
    20,025/30,991.50 = 30,991.50/x
  3. Step 3: Cross multiply
    20,025x = 30,991.50 × 30,991.50
  4. Step 4: Simplify right side
    20,025x = 960,473,072.25
  5. Step 5: Solve for x
    x = 960,473,072.25/20,025
  6. Step 6: Final answer
    x = 47,963.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.