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Finding the Third Proportional to 9,708.75 and 11,749.50

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Solution

The third proportional to 9,708.75 and 11,749.50 is: 14,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.75 : 11,749.50 = 11,749.50 : x
  2. Step 2: Convert to fraction form
    9,708.75/11,749.50 = 11,749.50/x
  3. Step 3: Cross multiply
    9,708.75x = 11,749.50 × 11,749.50
  4. Step 4: Simplify right side
    9,708.75x = 138,050,750.25
  5. Step 5: Solve for x
    x = 138,050,750.25/9,708.75
  6. Step 6: Final answer
    x = 14,219.21

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.