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Finding the Third Proportional to 3,583.78 and 5,258.20

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Solution

The third proportional to 3,583.78 and 5,258.20 is: 7,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.78 : 5,258.20 = 5,258.20 : x
  2. Step 2: Convert to fraction form
    3,583.78/5,258.20 = 5,258.20/x
  3. Step 3: Cross multiply
    3,583.78x = 5,258.20 × 5,258.20
  4. Step 4: Simplify right side
    3,583.78x = 27,648,638.48
  5. Step 5: Solve for x
    x = 27,648,638.48/3,583.78
  6. Step 6: Final answer
    x = 7,714.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.