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Finding the Third Proportional to 21,609 and 28,720.50

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Solution

The third proportional to 21,609 and 28,720.50 is: 38,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609 : 28,720.50 = 28,720.50 : x
  2. Step 2: Convert to fraction form
    21,609/28,720.50 = 28,720.50/x
  3. Step 3: Cross multiply
    21,609x = 28,720.50 × 28,720.50
  4. Step 4: Simplify right side
    21,609x = 824,867,120.25
  5. Step 5: Solve for x
    x = 824,867,120.25/21,609
  6. Step 6: Final answer
    x = 38,172.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.