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Finding the Third Proportional to 20,007 and 23,139

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Solution

The third proportional to 20,007 and 23,139 is: 26,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 23,139 = 23,139 : x
  2. Step 2: Convert to fraction form
    20,007/23,139 = 23,139/x
  3. Step 3: Cross multiply
    20,007x = 23,139 × 23,139
  4. Step 4: Simplify right side
    20,007x = 535,413,321
  5. Step 5: Solve for x
    x = 535,413,321/20,007
  6. Step 6: Final answer
    x = 26,761.30

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.