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Finding the Third Proportional to 9,201 and 11,953.50

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Solution

The third proportional to 9,201 and 11,953.50 is: 15,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 11,953.50 = 11,953.50 : x
  2. Step 2: Convert to fraction form
    9,201/11,953.50 = 11,953.50/x
  3. Step 3: Cross multiply
    9,201x = 11,953.50 × 11,953.50
  4. Step 4: Simplify right side
    9,201x = 142,886,162.25
  5. Step 5: Solve for x
    x = 142,886,162.25/9,201
  6. Step 6: Final answer
    x = 15,529.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.