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Finding the Third Proportional to 853.25 and 1,440.50

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Solution

The third proportional to 853.25 and 1,440.50 is: 2,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,440.50 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    853.25/1,440.50 = 1,440.50/x
  3. Step 3: Cross multiply
    853.25x = 1,440.50 × 1,440.50
  4. Step 4: Simplify right side
    853.25x = 2,075,040.25
  5. Step 5: Solve for x
    x = 2,075,040.25/853.25
  6. Step 6: Final answer
    x = 2,431.93

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.