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Finding the Third Proportional to 2,557.13 and 3,780.56

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Solution

The third proportional to 2,557.13 and 3,780.56 is: 5,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.13 : 3,780.56 = 3,780.56 : x
  2. Step 2: Convert to fraction form
    2,557.13/3,780.56 = 3,780.56/x
  3. Step 3: Cross multiply
    2,557.13x = 3,780.56 × 3,780.56
  4. Step 4: Simplify right side
    2,557.13x = 14,292,652.82
  5. Step 5: Solve for x
    x = 14,292,652.82/2,557.13
  6. Step 6: Final answer
    x = 5,589.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.