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Finding the Third Proportional to 9,602.30 and 11,550.09

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Solution

The third proportional to 9,602.30 and 11,550.09 is: 13,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.30 : 11,550.09 = 11,550.09 : x
  2. Step 2: Convert to fraction form
    9,602.30/11,550.09 = 11,550.09/x
  3. Step 3: Cross multiply
    9,602.30x = 11,550.09 × 11,550.09
  4. Step 4: Simplify right side
    9,602.30x = 133,404,665.63
  5. Step 5: Solve for x
    x = 133,404,665.63/9,602.30
  6. Step 6: Final answer
    x = 13,893.00

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.