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Finding the Third Proportional to 4,585.78 and 9,028.55

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Solution

The third proportional to 4,585.78 and 9,028.55 is: 17,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.78 : 9,028.55 = 9,028.55 : x
  2. Step 2: Convert to fraction form
    4,585.78/9,028.55 = 9,028.55/x
  3. Step 3: Cross multiply
    4,585.78x = 9,028.55 × 9,028.55
  4. Step 4: Simplify right side
    4,585.78x = 81,514,658.67
  5. Step 5: Solve for x
    x = 81,514,658.67/4,585.78
  6. Step 6: Final answer
    x = 17,775.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.