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Finding the Third Proportional to 10,957.78 and 23,586.19

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Solution

The third proportional to 10,957.78 and 23,586.19 is: 50,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.78 : 23,586.19 = 23,586.19 : x
  2. Step 2: Convert to fraction form
    10,957.78/23,586.19 = 23,586.19/x
  3. Step 3: Cross multiply
    10,957.78x = 23,586.19 × 23,586.19
  4. Step 4: Simplify right side
    10,957.78x = 556,308,240.79
  5. Step 5: Solve for x
    x = 556,308,240.79/10,957.78
  6. Step 6: Final answer
    x = 50,768.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.