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Finding the Third Proportional to 920.25 and 1,984.50

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Solution

The third proportional to 920.25 and 1,984.50 is: 4,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.25 : 1,984.50 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    920.25/1,984.50 = 1,984.50/x
  3. Step 3: Cross multiply
    920.25x = 1,984.50 × 1,984.50
  4. Step 4: Simplify right side
    920.25x = 3,938,240.25
  5. Step 5: Solve for x
    x = 3,938,240.25/920.25
  6. Step 6: Final answer
    x = 4,279.53

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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.