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Finding the Third Proportional to 339,040 and 498,048

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Solution

The third proportional to 339,040 and 498,048 is: 731,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,040 : 498,048 = 498,048 : x
  2. Step 2: Convert to fraction form
    339,040/498,048 = 498,048/x
  3. Step 3: Cross multiply
    339,040x = 498,048 × 498,048
  4. Step 4: Simplify right side
    339,040x = 248,051,810,304
  5. Step 5: Solve for x
    x = 248,051,810,304/339,040
  6. Step 6: Final answer
    x = 731,629.93

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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.