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Finding the Third Proportional to 149,454 and 323,329

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Solution

The third proportional to 149,454 and 323,329 is: 699,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,454 : 323,329 = 323,329 : x
  2. Step 2: Convert to fraction form
    149,454/323,329 = 323,329/x
  3. Step 3: Cross multiply
    149,454x = 323,329 × 323,329
  4. Step 4: Simplify right side
    149,454x = 104,541,642,241
  5. Step 5: Solve for x
    x = 104,541,642,241/149,454
  6. Step 6: Final answer
    x = 699,490.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.