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Finding the Third Proportional to 284,267 and 621,945

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Solution

The third proportional to 284,267 and 621,945 is: 1,360,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,267 : 621,945 = 621,945 : x
  2. Step 2: Convert to fraction form
    284,267/621,945 = 621,945/x
  3. Step 3: Cross multiply
    284,267x = 621,945 × 621,945
  4. Step 4: Simplify right side
    284,267x = 386,815,583,025
  5. Step 5: Solve for x
    x = 386,815,583,025/284,267
  6. Step 6: Final answer
    x = 1,360,747.41

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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.