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Finding the Third Proportional to 339,038 and 498,045

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Solution

The third proportional to 339,038 and 498,045 is: 731,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,038 : 498,045 = 498,045 : x
  2. Step 2: Convert to fraction form
    339,038/498,045 = 498,045/x
  3. Step 3: Cross multiply
    339,038x = 498,045 × 498,045
  4. Step 4: Simplify right side
    339,038x = 248,048,822,025
  5. Step 5: Solve for x
    x = 248,048,822,025/339,038
  6. Step 6: Final answer
    x = 731,625.43

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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.