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Finding the Third Proportional to 20,490 and 27,009

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Solution

The third proportional to 20,490 and 27,009 is: 35,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490 : 27,009 = 27,009 : x
  2. Step 2: Convert to fraction form
    20,490/27,009 = 27,009/x
  3. Step 3: Cross multiply
    20,490x = 27,009 × 27,009
  4. Step 4: Simplify right side
    20,490x = 729,486,081
  5. Step 5: Solve for x
    x = 729,486,081/20,490
  6. Step 6: Final answer
    x = 35,602.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.