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Finding the Third Proportional to 2,505 and 5,345.44

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Solution

The third proportional to 2,505 and 5,345.44 is: 11,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505 : 5,345.44 = 5,345.44 : x
  2. Step 2: Convert to fraction form
    2,505/5,345.44 = 5,345.44/x
  3. Step 3: Cross multiply
    2,505x = 5,345.44 × 5,345.44
  4. Step 4: Simplify right side
    2,505x = 28,573,702.07
  5. Step 5: Solve for x
    x = 28,573,702.07/2,505
  6. Step 6: Final answer
    x = 11,406.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.