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Finding the Third Proportional to 9,821.50 and 21,211.75

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Solution

The third proportional to 9,821.50 and 21,211.75 is: 45,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.50 : 21,211.75 = 21,211.75 : x
  2. Step 2: Convert to fraction form
    9,821.50/21,211.75 = 21,211.75/x
  3. Step 3: Cross multiply
    9,821.50x = 21,211.75 × 21,211.75
  4. Step 4: Simplify right side
    9,821.50x = 449,938,338.06
  5. Step 5: Solve for x
    x = 449,938,338.06/9,821.50
  6. Step 6: Final answer
    x = 45,811.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.