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Finding the Third Proportional to 5,842 and 8,823

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Solution

The third proportional to 5,842 and 8,823 is: 13,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 8,823 = 8,823 : x
  2. Step 2: Convert to fraction form
    5,842/8,823 = 8,823/x
  3. Step 3: Cross multiply
    5,842x = 8,823 × 8,823
  4. Step 4: Simplify right side
    5,842x = 77,845,329
  5. Step 5: Solve for x
    x = 77,845,329/5,842
  6. Step 6: Final answer
    x = 13,325.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.