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Finding the Third Proportional to 427,745 and 662,245

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Solution

The third proportional to 427,745 and 662,245 is: 1,025,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,745 : 662,245 = 662,245 : x
  2. Step 2: Convert to fraction form
    427,745/662,245 = 662,245/x
  3. Step 3: Cross multiply
    427,745x = 662,245 × 662,245
  4. Step 4: Simplify right side
    427,745x = 438,568,440,025
  5. Step 5: Solve for x
    x = 438,568,440,025/427,745
  6. Step 6: Final answer
    x = 1,025,303.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.