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Finding the Third Proportional to 339,171 and 498,640.50

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Solution

The third proportional to 339,171 and 498,640.50 is: 733,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,171 : 498,640.50 = 498,640.50 : x
  2. Step 2: Convert to fraction form
    339,171/498,640.50 = 498,640.50/x
  3. Step 3: Cross multiply
    339,171x = 498,640.50 × 498,640.50
  4. Step 4: Simplify right side
    339,171x = 248,642,348,240.25
  5. Step 5: Solve for x
    x = 248,642,348,240.25/339,171
  6. Step 6: Final answer
    x = 733,088.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.