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Finding the Third Proportional to 182,995 and 389,317

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Solution

The third proportional to 182,995 and 389,317 is: 828,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,995 : 389,317 = 389,317 : x
  2. Step 2: Convert to fraction form
    182,995/389,317 = 389,317/x
  3. Step 3: Cross multiply
    182,995x = 389,317 × 389,317
  4. Step 4: Simplify right side
    182,995x = 151,567,726,489
  5. Step 5: Solve for x
    x = 151,567,726,489/182,995
  6. Step 6: Final answer
    x = 828,261.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.