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Finding the Third Proportional to 208,530 and 455,298

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Solution

The third proportional to 208,530 and 455,298 is: 994,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,530 : 455,298 = 455,298 : x
  2. Step 2: Convert to fraction form
    208,530/455,298 = 455,298/x
  3. Step 3: Cross multiply
    208,530x = 455,298 × 455,298
  4. Step 4: Simplify right side
    208,530x = 207,296,268,804
  5. Step 5: Solve for x
    x = 207,296,268,804/208,530
  6. Step 6: Final answer
    x = 994,083.68

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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.