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Finding the Third Proportional to 4,315.78 and 9,034.03

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Solution

The third proportional to 4,315.78 and 9,034.03 is: 18,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.78 : 9,034.03 = 9,034.03 : x
  2. Step 2: Convert to fraction form
    4,315.78/9,034.03 = 9,034.03/x
  3. Step 3: Cross multiply
    4,315.78x = 9,034.03 × 9,034.03
  4. Step 4: Simplify right side
    4,315.78x = 81,613,720.63
  5. Step 5: Solve for x
    x = 81,613,720.63/4,315.78
  6. Step 6: Final answer
    x = 18,910.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.