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Finding the Third Proportional to 208,638 and 450,530

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Solution

The third proportional to 208,638 and 450,530 is: 972,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638 : 450,530 = 450,530 : x
  2. Step 2: Convert to fraction form
    208,638/450,530 = 450,530/x
  3. Step 3: Cross multiply
    208,638x = 450,530 × 450,530
  4. Step 4: Simplify right side
    208,638x = 202,977,280,900
  5. Step 5: Solve for x
    x = 202,977,280,900/208,638
  6. Step 6: Final answer
    x = 972,868.23

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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.