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Finding the Third Proportional to 1,278.56 and 2,781.56

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Solution

The third proportional to 1,278.56 and 2,781.56 is: 6,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.56 : 2,781.56 = 2,781.56 : x
  2. Step 2: Convert to fraction form
    1,278.56/2,781.56 = 2,781.56/x
  3. Step 3: Cross multiply
    1,278.56x = 2,781.56 × 2,781.56
  4. Step 4: Simplify right side
    1,278.56x = 7,737,089.94
  5. Step 5: Solve for x
    x = 7,737,089.94/1,278.56
  6. Step 6: Final answer
    x = 6,051.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.