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Finding the Third Proportional to 408.75 and 898.50

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Solution

The third proportional to 408.75 and 898.50 is: 1,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 898.50 = 898.50 : x
  2. Step 2: Convert to fraction form
    408.75/898.50 = 898.50/x
  3. Step 3: Cross multiply
    408.75x = 898.50 × 898.50
  4. Step 4: Simplify right side
    408.75x = 807,302.25
  5. Step 5: Solve for x
    x = 807,302.25/408.75
  6. Step 6: Final answer
    x = 1,975.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.