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Finding the Third Proportional to 20,075 and 31,224

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Solution

The third proportional to 20,075 and 31,224 is: 48,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075 : 31,224 = 31,224 : x
  2. Step 2: Convert to fraction form
    20,075/31,224 = 31,224/x
  3. Step 3: Cross multiply
    20,075x = 31,224 × 31,224
  4. Step 4: Simplify right side
    20,075x = 974,938,176
  5. Step 5: Solve for x
    x = 974,938,176/20,075
  6. Step 6: Final answer
    x = 48,564.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.