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Finding the Third Proportional to 10,336.50 and 21,841

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Solution

The third proportional to 10,336.50 and 21,841 is: 46,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.50 : 21,841 = 21,841 : x
  2. Step 2: Convert to fraction form
    10,336.50/21,841 = 21,841/x
  3. Step 3: Cross multiply
    10,336.50x = 21,841 × 21,841
  4. Step 4: Simplify right side
    10,336.50x = 477,029,281
  5. Step 5: Solve for x
    x = 477,029,281/10,336.50
  6. Step 6: Final answer
    x = 46,149.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.