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Finding the Third Proportional to 21,403 and 28,399.50

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Solution

The third proportional to 21,403 and 28,399.50 is: 37,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403 : 28,399.50 = 28,399.50 : x
  2. Step 2: Convert to fraction form
    21,403/28,399.50 = 28,399.50/x
  3. Step 3: Cross multiply
    21,403x = 28,399.50 × 28,399.50
  4. Step 4: Simplify right side
    21,403x = 806,531,600.25
  5. Step 5: Solve for x
    x = 806,531,600.25/21,403
  6. Step 6: Final answer
    x = 37,683.11

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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.