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Finding the Third Proportional to 208,539 and 458,550

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Solution

The third proportional to 208,539 and 458,550 is: 1,008,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539 : 458,550 = 458,550 : x
  2. Step 2: Convert to fraction form
    208,539/458,550 = 458,550/x
  3. Step 3: Cross multiply
    208,539x = 458,550 × 458,550
  4. Step 4: Simplify right side
    208,539x = 210,268,102,500
  5. Step 5: Solve for x
    x = 210,268,102,500/208,539
  6. Step 6: Final answer
    x = 1,008,291.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.