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Finding the Third Proportional to 1,568 and 3,780.50

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Solution

The third proportional to 1,568 and 3,780.50 is: 9,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568 : 3,780.50 = 3,780.50 : x
  2. Step 2: Convert to fraction form
    1,568/3,780.50 = 3,780.50/x
  3. Step 3: Cross multiply
    1,568x = 3,780.50 × 3,780.50
  4. Step 4: Simplify right side
    1,568x = 14,292,180.25
  5. Step 5: Solve for x
    x = 14,292,180.25/1,568
  6. Step 6: Final answer
    x = 9,114.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.