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Finding the Third Proportional to 10,200.94 and 11,633.63

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Solution

The third proportional to 10,200.94 and 11,633.63 is: 13,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.94 : 11,633.63 = 11,633.63 : x
  2. Step 2: Convert to fraction form
    10,200.94/11,633.63 = 11,633.63/x
  3. Step 3: Cross multiply
    10,200.94x = 11,633.63 × 11,633.63
  4. Step 4: Simplify right side
    10,200.94x = 135,341,230.64
  5. Step 5: Solve for x
    x = 135,341,230.64/10,200.94
  6. Step 6: Final answer
    x = 13,267.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.