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Finding the Third Proportional to 10,608.19 and 23,118.47

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Solution

The third proportional to 10,608.19 and 23,118.47 is: 50,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.19 : 23,118.47 = 23,118.47 : x
  2. Step 2: Convert to fraction form
    10,608.19/23,118.47 = 23,118.47/x
  3. Step 3: Cross multiply
    10,608.19x = 23,118.47 × 23,118.47
  4. Step 4: Simplify right side
    10,608.19x = 534,463,597.34
  5. Step 5: Solve for x
    x = 534,463,597.34/10,608.19
  6. Step 6: Final answer
    x = 50,382.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.