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Finding the Third Proportional to 9,120.09 and 21,000.52

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Solution

The third proportional to 9,120.09 and 21,000.52 is: 48,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.09 : 21,000.52 = 21,000.52 : x
  2. Step 2: Convert to fraction form
    9,120.09/21,000.52 = 21,000.52/x
  3. Step 3: Cross multiply
    9,120.09x = 21,000.52 × 21,000.52
  4. Step 4: Simplify right side
    9,120.09x = 441,021,656.52
  5. Step 5: Solve for x
    x = 441,021,656.52/9,120.09
  6. Step 6: Final answer
    x = 48,357.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.