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Finding the Third Proportional to 9,844.50 and 13,263

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Solution

The third proportional to 9,844.50 and 13,263 is: 17,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.50 : 13,263 = 13,263 : x
  2. Step 2: Convert to fraction form
    9,844.50/13,263 = 13,263/x
  3. Step 3: Cross multiply
    9,844.50x = 13,263 × 13,263
  4. Step 4: Simplify right side
    9,844.50x = 175,907,169
  5. Step 5: Solve for x
    x = 175,907,169/9,844.50
  6. Step 6: Final answer
    x = 17,868.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.