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Finding the Third Proportional to 383,337 and 840,485

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Solution

The third proportional to 383,337 and 840,485 is: 1,842,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,337 : 840,485 = 840,485 : x
  2. Step 2: Convert to fraction form
    383,337/840,485 = 840,485/x
  3. Step 3: Cross multiply
    383,337x = 840,485 × 840,485
  4. Step 4: Simplify right side
    383,337x = 706,415,035,225
  5. Step 5: Solve for x
    x = 706,415,035,225/383,337
  6. Step 6: Final answer
    x = 1,842,804.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.