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Finding the Third Proportional to 20,007 and 31,639.50

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Solution

The third proportional to 20,007 and 31,639.50 is: 50,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 31,639.50 = 31,639.50 : x
  2. Step 2: Convert to fraction form
    20,007/31,639.50 = 31,639.50/x
  3. Step 3: Cross multiply
    20,007x = 31,639.50 × 31,639.50
  4. Step 4: Simplify right side
    20,007x = 1,001,057,960.25
  5. Step 5: Solve for x
    x = 1,001,057,960.25/20,007
  6. Step 6: Final answer
    x = 50,035.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.