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Finding the Third Proportional to 436.75 and 917.75

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Solution

The third proportional to 436.75 and 917.75 is: 1,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.75 : 917.75 = 917.75 : x
  2. Step 2: Convert to fraction form
    436.75/917.75 = 917.75/x
  3. Step 3: Cross multiply
    436.75x = 917.75 × 917.75
  4. Step 4: Simplify right side
    436.75x = 842,265.06
  5. Step 5: Solve for x
    x = 842,265.06/436.75
  6. Step 6: Final answer
    x = 1,928.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.