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Finding the Third Proportional to 5,800.78 and 8,143.03

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Solution

The third proportional to 5,800.78 and 8,143.03 is: 11,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.78 : 8,143.03 = 8,143.03 : x
  2. Step 2: Convert to fraction form
    5,800.78/8,143.03 = 8,143.03/x
  3. Step 3: Cross multiply
    5,800.78x = 8,143.03 × 8,143.03
  4. Step 4: Simplify right side
    5,800.78x = 66,308,957.94
  5. Step 5: Solve for x
    x = 66,308,957.94/5,800.78
  6. Step 6: Final answer
    x = 11,431.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.