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Finding the Third Proportional to 13,579 and 20,224.50

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Solution

The third proportional to 13,579 and 20,224.50 is: 30,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,579 : 20,224.50 = 20,224.50 : x
  2. Step 2: Convert to fraction form
    13,579/20,224.50 = 20,224.50/x
  3. Step 3: Cross multiply
    13,579x = 20,224.50 × 20,224.50
  4. Step 4: Simplify right side
    13,579x = 409,030,400.25
  5. Step 5: Solve for x
    x = 409,030,400.25/13,579
  6. Step 6: Final answer
    x = 30,122.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.