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Finding the Third Proportional to 412,831.13 and 909,469.13

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Solution

The third proportional to 412,831.13 and 909,469.13 is: 2,003,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,831.13 : 909,469.13 = 909,469.13 : x
  2. Step 2: Convert to fraction form
    412,831.13/909,469.13 = 909,469.13/x
  3. Step 3: Cross multiply
    412,831.13x = 909,469.13 × 909,469.13
  4. Step 4: Simplify right side
    412,831.13x = 827,134,089,328.27
  5. Step 5: Solve for x
    x = 827,134,089,328.27/412,831.13
  6. Step 6: Final answer
    x = 2,003,565.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.