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Finding the Third Proportional to 311,984.16 and 445,831.59

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Solution

The third proportional to 311,984.16 and 445,831.59 is: 637,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,984.16 : 445,831.59 = 445,831.59 : x
  2. Step 2: Convert to fraction form
    311,984.16/445,831.59 = 445,831.59/x
  3. Step 3: Cross multiply
    311,984.16x = 445,831.59 × 445,831.59
  4. Step 4: Simplify right side
    311,984.16x = 198,765,809,985.67
  5. Step 5: Solve for x
    x = 198,765,809,985.67/311,984.16
  6. Step 6: Final answer
    x = 637,102.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.