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Finding the Third Proportional to 208,622 and 450,502

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Solution

The third proportional to 208,622 and 450,502 is: 972,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,622 : 450,502 = 450,502 : x
  2. Step 2: Convert to fraction form
    208,622/450,502 = 450,502/x
  3. Step 3: Cross multiply
    208,622x = 450,502 × 450,502
  4. Step 4: Simplify right side
    208,622x = 202,952,052,004
  5. Step 5: Solve for x
    x = 202,952,052,004/208,622
  6. Step 6: Final answer
    x = 972,821.91

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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.