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Finding the Third Proportional to 1,660 and 2,570.75

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Solution

The third proportional to 1,660 and 2,570.75 is: 3,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660 : 2,570.75 = 2,570.75 : x
  2. Step 2: Convert to fraction form
    1,660/2,570.75 = 2,570.75/x
  3. Step 3: Cross multiply
    1,660x = 2,570.75 × 2,570.75
  4. Step 4: Simplify right side
    1,660x = 6,608,755.56
  5. Step 5: Solve for x
    x = 6,608,755.56/1,660
  6. Step 6: Final answer
    x = 3,981.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.