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Finding the Third Proportional to 7,824.75 and 17,398.75

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Solution

The third proportional to 7,824.75 and 17,398.75 is: 38,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.75 : 17,398.75 = 17,398.75 : x
  2. Step 2: Convert to fraction form
    7,824.75/17,398.75 = 17,398.75/x
  3. Step 3: Cross multiply
    7,824.75x = 17,398.75 × 17,398.75
  4. Step 4: Simplify right side
    7,824.75x = 302,716,501.56
  5. Step 5: Solve for x
    x = 302,716,501.56/7,824.75
  6. Step 6: Final answer
    x = 38,687.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.