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Finding the Third Proportional to 9,094.78 and 19,290.66

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Solution

The third proportional to 9,094.78 and 19,290.66 is: 40,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.78 : 19,290.66 = 19,290.66 : x
  2. Step 2: Convert to fraction form
    9,094.78/19,290.66 = 19,290.66/x
  3. Step 3: Cross multiply
    9,094.78x = 19,290.66 × 19,290.66
  4. Step 4: Simplify right side
    9,094.78x = 372,129,418.56
  5. Step 5: Solve for x
    x = 372,129,418.56/9,094.78
  6. Step 6: Final answer
    x = 40,916.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.