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Finding the Third Proportional to 1,655 and 2,939.50

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Solution

The third proportional to 1,655 and 2,939.50 is: 5,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655 : 2,939.50 = 2,939.50 : x
  2. Step 2: Convert to fraction form
    1,655/2,939.50 = 2,939.50/x
  3. Step 3: Cross multiply
    1,655x = 2,939.50 × 2,939.50
  4. Step 4: Simplify right side
    1,655x = 8,640,660.25
  5. Step 5: Solve for x
    x = 8,640,660.25/1,655
  6. Step 6: Final answer
    x = 5,220.94

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.