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Finding the Third Proportional to 2,830.78 and 4,306.78

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Solution

The third proportional to 2,830.78 and 4,306.78 is: 6,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.78 : 4,306.78 = 4,306.78 : x
  2. Step 2: Convert to fraction form
    2,830.78/4,306.78 = 4,306.78/x
  3. Step 3: Cross multiply
    2,830.78x = 4,306.78 × 4,306.78
  4. Step 4: Simplify right side
    2,830.78x = 18,548,364.74
  5. Step 5: Solve for x
    x = 18,548,364.74/2,830.78
  6. Step 6: Final answer
    x = 6,552.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.