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Finding the Third Proportional to 2,232.56 and 4,590.42

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Solution

The third proportional to 2,232.56 and 4,590.42 is: 9,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 4,590.42 = 4,590.42 : x
  2. Step 2: Convert to fraction form
    2,232.56/4,590.42 = 4,590.42/x
  3. Step 3: Cross multiply
    2,232.56x = 4,590.42 × 4,590.42
  4. Step 4: Simplify right side
    2,232.56x = 21,071,972.99
  5. Step 5: Solve for x
    x = 21,071,972.99/2,232.56
  6. Step 6: Final answer
    x = 9,438.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.