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Finding the Third Proportional to 5,845.13 and 12,410.25

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Solution

The third proportional to 5,845.13 and 12,410.25 is: 26,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.13 : 12,410.25 = 12,410.25 : x
  2. Step 2: Convert to fraction form
    5,845.13/12,410.25 = 12,410.25/x
  3. Step 3: Cross multiply
    5,845.13x = 12,410.25 × 12,410.25
  4. Step 4: Simplify right side
    5,845.13x = 154,014,305.06
  5. Step 5: Solve for x
    x = 154,014,305.06/5,845.13
  6. Step 6: Final answer
    x = 26,349.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.