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Finding the Third Proportional to 5,840 and 11,040

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Solution

The third proportional to 5,840 and 11,040 is: 20,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 11,040 = 11,040 : x
  2. Step 2: Convert to fraction form
    5,840/11,040 = 11,040/x
  3. Step 3: Cross multiply
    5,840x = 11,040 × 11,040
  4. Step 4: Simplify right side
    5,840x = 121,881,600
  5. Step 5: Solve for x
    x = 121,881,600/5,840
  6. Step 6: Final answer
    x = 20,870.14

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.