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Finding the Third Proportional to 1,831.78 and 3,790.13

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Solution

The third proportional to 1,831.78 and 3,790.13 is: 7,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.78 : 3,790.13 = 3,790.13 : x
  2. Step 2: Convert to fraction form
    1,831.78/3,790.13 = 3,790.13/x
  3. Step 3: Cross multiply
    1,831.78x = 3,790.13 × 3,790.13
  4. Step 4: Simplify right side
    1,831.78x = 14,365,047.52
  5. Step 5: Solve for x
    x = 14,365,047.52/1,831.78
  6. Step 6: Final answer
    x = 7,842.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.