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Finding the Third Proportional to 817.07 and 1,227.45

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Solution

The third proportional to 817.07 and 1,227.45 is: 1,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.07 : 1,227.45 = 1,227.45 : x
  2. Step 2: Convert to fraction form
    817.07/1,227.45 = 1,227.45/x
  3. Step 3: Cross multiply
    817.07x = 1,227.45 × 1,227.45
  4. Step 4: Simplify right side
    817.07x = 1,506,622.00
  5. Step 5: Solve for x
    x = 1,506,622.00/817.07
  6. Step 6: Final answer
    x = 1,843.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.