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Finding the Third Proportional to 1,801.85 and 2,578.55

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Solution

The third proportional to 1,801.85 and 2,578.55 is: 3,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.85 : 2,578.55 = 2,578.55 : x
  2. Step 2: Convert to fraction form
    1,801.85/2,578.55 = 2,578.55/x
  3. Step 3: Cross multiply
    1,801.85x = 2,578.55 × 2,578.55
  4. Step 4: Simplify right side
    1,801.85x = 6,648,934.20
  5. Step 5: Solve for x
    x = 6,648,934.20/1,801.85
  6. Step 6: Final answer
    x = 3,690.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.