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Finding the Third Proportional to 15,021 and 21,550.50

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Solution

The third proportional to 15,021 and 21,550.50 is: 30,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,021 : 21,550.50 = 21,550.50 : x
  2. Step 2: Convert to fraction form
    15,021/21,550.50 = 21,550.50/x
  3. Step 3: Cross multiply
    15,021x = 21,550.50 × 21,550.50
  4. Step 4: Simplify right side
    15,021x = 464,424,050.25
  5. Step 5: Solve for x
    x = 464,424,050.25/15,021
  6. Step 6: Final answer
    x = 30,918.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.