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Finding the Third Proportional to 208,071 and 449,311

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Solution

The third proportional to 208,071 and 449,311 is: 970,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,071 : 449,311 = 449,311 : x
  2. Step 2: Convert to fraction form
    208,071/449,311 = 449,311/x
  3. Step 3: Cross multiply
    208,071x = 449,311 × 449,311
  4. Step 4: Simplify right side
    208,071x = 201,880,374,721
  5. Step 5: Solve for x
    x = 201,880,374,721/208,071
  6. Step 6: Final answer
    x = 970,247.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.