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Finding the Third Proportional to 858.09 and 1,831.99

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Solution

The third proportional to 858.09 and 1,831.99 is: 3,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.09 : 1,831.99 = 1,831.99 : x
  2. Step 2: Convert to fraction form
    858.09/1,831.99 = 1,831.99/x
  3. Step 3: Cross multiply
    858.09x = 1,831.99 × 1,831.99
  4. Step 4: Simplify right side
    858.09x = 3,356,195.38
  5. Step 5: Solve for x
    x = 3,356,195.38/858.09
  6. Step 6: Final answer
    x = 3,911.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.