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Finding the Third Proportional to 20,203 and 30,880.50

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Solution

The third proportional to 20,203 and 30,880.50 is: 47,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203 : 30,880.50 = 30,880.50 : x
  2. Step 2: Convert to fraction form
    20,203/30,880.50 = 30,880.50/x
  3. Step 3: Cross multiply
    20,203x = 30,880.50 × 30,880.50
  4. Step 4: Simplify right side
    20,203x = 953,605,280.25
  5. Step 5: Solve for x
    x = 953,605,280.25/20,203
  6. Step 6: Final answer
    x = 47,201.17

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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.