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Finding the Third Proportional to 182,439 and 399,241.50

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Solution

The third proportional to 182,439 and 399,241.50 is: 873,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,439 : 399,241.50 = 399,241.50 : x
  2. Step 2: Convert to fraction form
    182,439/399,241.50 = 399,241.50/x
  3. Step 3: Cross multiply
    182,439x = 399,241.50 × 399,241.50
  4. Step 4: Simplify right side
    182,439x = 159,393,775,322.25
  5. Step 5: Solve for x
    x = 159,393,775,322.25/182,439
  6. Step 6: Final answer
    x = 873,682.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.