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Finding the Third Proportional to 9,256.75 and 20,051.75

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Solution

The third proportional to 9,256.75 and 20,051.75 is: 43,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.75 : 20,051.75 = 20,051.75 : x
  2. Step 2: Convert to fraction form
    9,256.75/20,051.75 = 20,051.75/x
  3. Step 3: Cross multiply
    9,256.75x = 20,051.75 × 20,051.75
  4. Step 4: Simplify right side
    9,256.75x = 402,072,678.06
  5. Step 5: Solve for x
    x = 402,072,678.06/9,256.75
  6. Step 6: Final answer
    x = 43,435.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.