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Finding the Third Proportional to 912.50 and 1,968.50

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Solution

The third proportional to 912.50 and 1,968.50 is: 4,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.50 : 1,968.50 = 1,968.50 : x
  2. Step 2: Convert to fraction form
    912.50/1,968.50 = 1,968.50/x
  3. Step 3: Cross multiply
    912.50x = 1,968.50 × 1,968.50
  4. Step 4: Simplify right side
    912.50x = 3,874,992.25
  5. Step 5: Solve for x
    x = 3,874,992.25/912.50
  6. Step 6: Final answer
    x = 4,246.57

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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.