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Finding the Third Proportional to 321,940.50 and 512,463

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Solution

The third proportional to 321,940.50 and 512,463 is: 815,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,940.50 : 512,463 = 512,463 : x
  2. Step 2: Convert to fraction form
    321,940.50/512,463 = 512,463/x
  3. Step 3: Cross multiply
    321,940.50x = 512,463 × 512,463
  4. Step 4: Simplify right side
    321,940.50x = 262,618,326,369
  5. Step 5: Solve for x
    x = 262,618,326,369/321,940.50
  6. Step 6: Final answer
    x = 815,735.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.