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Finding the Third Proportional to 812.25 and 923.63

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Solution

The third proportional to 812.25 and 923.63 is: 1,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 923.63 = 923.63 : x
  2. Step 2: Convert to fraction form
    812.25/923.63 = 923.63/x
  3. Step 3: Cross multiply
    812.25x = 923.63 × 923.63
  4. Step 4: Simplify right side
    812.25x = 853,083.14
  5. Step 5: Solve for x
    x = 853,083.14/812.25
  6. Step 6: Final answer
    x = 1,050.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.