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Finding the Third Proportional to 15,028.50 and 21,477

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Solution

The third proportional to 15,028.50 and 21,477 is: 30,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,028.50 : 21,477 = 21,477 : x
  2. Step 2: Convert to fraction form
    15,028.50/21,477 = 21,477/x
  3. Step 3: Cross multiply
    15,028.50x = 21,477 × 21,477
  4. Step 4: Simplify right side
    15,028.50x = 461,261,529
  5. Step 5: Solve for x
    x = 461,261,529/15,028.50
  6. Step 6: Final answer
    x = 30,692.45

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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.