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Finding the Third Proportional to 20,507 and 28,255

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Solution

The third proportional to 20,507 and 28,255 is: 38,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507 : 28,255 = 28,255 : x
  2. Step 2: Convert to fraction form
    20,507/28,255 = 28,255/x
  3. Step 3: Cross multiply
    20,507x = 28,255 × 28,255
  4. Step 4: Simplify right side
    20,507x = 798,345,025
  5. Step 5: Solve for x
    x = 798,345,025/20,507
  6. Step 6: Final answer
    x = 38,930.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.