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Finding the Third Proportional to 149,539 and 213,292

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Solution

The third proportional to 149,539 and 213,292 is: 304,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,539 : 213,292 = 213,292 : x
  2. Step 2: Convert to fraction form
    149,539/213,292 = 213,292/x
  3. Step 3: Cross multiply
    149,539x = 213,292 × 213,292
  4. Step 4: Simplify right side
    149,539x = 45,493,477,264
  5. Step 5: Solve for x
    x = 45,493,477,264/149,539
  6. Step 6: Final answer
    x = 304,224.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.