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Finding the Third Proportional to 2,430 and 5,119.37

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Solution

The third proportional to 2,430 and 5,119.37 is: 10,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 5,119.37 = 5,119.37 : x
  2. Step 2: Convert to fraction form
    2,430/5,119.37 = 5,119.37/x
  3. Step 3: Cross multiply
    2,430x = 5,119.37 × 5,119.37
  4. Step 4: Simplify right side
    2,430x = 26,207,990.39
  5. Step 5: Solve for x
    x = 26,207,990.39/2,430
  6. Step 6: Final answer
    x = 10,785.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.