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Finding the Third Proportional to 746.75 and 904.25

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Solution

The third proportional to 746.75 and 904.25 is: 1,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.75 : 904.25 = 904.25 : x
  2. Step 2: Convert to fraction form
    746.75/904.25 = 904.25/x
  3. Step 3: Cross multiply
    746.75x = 904.25 × 904.25
  4. Step 4: Simplify right side
    746.75x = 817,668.06
  5. Step 5: Solve for x
    x = 817,668.06/746.75
  6. Step 6: Final answer
    x = 1,094.97

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.