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Finding the Third Proportional to 842.06 and 923.06

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Solution

The third proportional to 842.06 and 923.06 is: 1,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.06 : 923.06 = 923.06 : x
  2. Step 2: Convert to fraction form
    842.06/923.06 = 923.06/x
  3. Step 3: Cross multiply
    842.06x = 923.06 × 923.06
  4. Step 4: Simplify right side
    842.06x = 852,044.38
  5. Step 5: Solve for x
    x = 852,044.38/842.06
  6. Step 6: Final answer
    x = 1,011.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.