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Finding the Third Proportional to 21,609 and 27,609.50

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Solution

The third proportional to 21,609 and 27,609.50 is: 35,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609 : 27,609.50 = 27,609.50 : x
  2. Step 2: Convert to fraction form
    21,609/27,609.50 = 27,609.50/x
  3. Step 3: Cross multiply
    21,609x = 27,609.50 × 27,609.50
  4. Step 4: Simplify right side
    21,609x = 762,284,490.25
  5. Step 5: Solve for x
    x = 762,284,490.25/21,609
  6. Step 6: Final answer
    x = 35,276.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.