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Finding the Third Proportional to 270,452 and 424,245

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Solution

The third proportional to 270,452 and 424,245 is: 665,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,452 : 424,245 = 424,245 : x
  2. Step 2: Convert to fraction form
    270,452/424,245 = 424,245/x
  3. Step 3: Cross multiply
    270,452x = 424,245 × 424,245
  4. Step 4: Simplify right side
    270,452x = 179,983,820,025
  5. Step 5: Solve for x
    x = 179,983,820,025/270,452
  6. Step 6: Final answer
    x = 665,492.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.