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Finding the Third Proportional to 10,604.25 and 23,382

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Solution

The third proportional to 10,604.25 and 23,382 is: 51,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.25 : 23,382 = 23,382 : x
  2. Step 2: Convert to fraction form
    10,604.25/23,382 = 23,382/x
  3. Step 3: Cross multiply
    10,604.25x = 23,382 × 23,382
  4. Step 4: Simplify right side
    10,604.25x = 546,717,924
  5. Step 5: Solve for x
    x = 546,717,924/10,604.25
  6. Step 6: Final answer
    x = 51,556.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.