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Finding the Third Proportional to 20,509 and 33,490

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Solution

The third proportional to 20,509 and 33,490 is: 54,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509 : 33,490 = 33,490 : x
  2. Step 2: Convert to fraction form
    20,509/33,490 = 33,490/x
  3. Step 3: Cross multiply
    20,509x = 33,490 × 33,490
  4. Step 4: Simplify right side
    20,509x = 1,121,580,100
  5. Step 5: Solve for x
    x = 1,121,580,100/20,509
  6. Step 6: Final answer
    x = 54,687.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.