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Finding the Third Proportional to 2,405 and 5,203

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Solution

The third proportional to 2,405 and 5,203 is: 11,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 5,203 = 5,203 : x
  2. Step 2: Convert to fraction form
    2,405/5,203 = 5,203/x
  3. Step 3: Cross multiply
    2,405x = 5,203 × 5,203
  4. Step 4: Simplify right side
    2,405x = 27,071,209
  5. Step 5: Solve for x
    x = 27,071,209/2,405
  6. Step 6: Final answer
    x = 11,256.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.