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Finding the Third Proportional to 208,539 and 455,305

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Solution

The third proportional to 208,539 and 455,305 is: 994,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539 : 455,305 = 455,305 : x
  2. Step 2: Convert to fraction form
    208,539/455,305 = 455,305/x
  3. Step 3: Cross multiply
    208,539x = 455,305 × 455,305
  4. Step 4: Simplify right side
    208,539x = 207,302,643,025
  5. Step 5: Solve for x
    x = 207,302,643,025/208,539
  6. Step 6: Final answer
    x = 994,071.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.