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Finding the Third Proportional to 9,775.50 and 21,296.63

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Solution

The third proportional to 9,775.50 and 21,296.63 is: 46,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.50 : 21,296.63 = 21,296.63 : x
  2. Step 2: Convert to fraction form
    9,775.50/21,296.63 = 21,296.63/x
  3. Step 3: Cross multiply
    9,775.50x = 21,296.63 × 21,296.63
  4. Step 4: Simplify right side
    9,775.50x = 453,546,236.39
  5. Step 5: Solve for x
    x = 453,546,236.39/9,775.50
  6. Step 6: Final answer
    x = 46,396.22

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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.