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Finding the Third Proportional to 11,011.50 and 22,935

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Solution

The third proportional to 11,011.50 and 22,935 is: 47,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.50 : 22,935 = 22,935 : x
  2. Step 2: Convert to fraction form
    11,011.50/22,935 = 22,935/x
  3. Step 3: Cross multiply
    11,011.50x = 22,935 × 22,935
  4. Step 4: Simplify right side
    11,011.50x = 526,014,225
  5. Step 5: Solve for x
    x = 526,014,225/11,011.50
  6. Step 6: Final answer
    x = 47,769.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.