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Finding the Third Proportional to 15,660 and 18,414

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Solution

The third proportional to 15,660 and 18,414 is: 21,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,660 : 18,414 = 18,414 : x
  2. Step 2: Convert to fraction form
    15,660/18,414 = 18,414/x
  3. Step 3: Cross multiply
    15,660x = 18,414 × 18,414
  4. Step 4: Simplify right side
    15,660x = 339,075,396
  5. Step 5: Solve for x
    x = 339,075,396/15,660
  6. Step 6: Final answer
    x = 21,652.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.