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Finding the Third Proportional to 2,405 and 4,146

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Solution

The third proportional to 2,405 and 4,146 is: 7,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 4,146 = 4,146 : x
  2. Step 2: Convert to fraction form
    2,405/4,146 = 4,146/x
  3. Step 3: Cross multiply
    2,405x = 4,146 × 4,146
  4. Step 4: Simplify right side
    2,405x = 17,189,316
  5. Step 5: Solve for x
    x = 17,189,316/2,405
  6. Step 6: Final answer
    x = 7,147.32

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.