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Finding the Third Proportional to 1,483 and 3,209.50

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Solution

The third proportional to 1,483 and 3,209.50 is: 6,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483 : 3,209.50 = 3,209.50 : x
  2. Step 2: Convert to fraction form
    1,483/3,209.50 = 3,209.50/x
  3. Step 3: Cross multiply
    1,483x = 3,209.50 × 3,209.50
  4. Step 4: Simplify right side
    1,483x = 10,300,890.25
  5. Step 5: Solve for x
    x = 10,300,890.25/1,483
  6. Step 6: Final answer
    x = 6,945.98

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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.