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Finding the Third Proportional to 339,080 and 512,992

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Solution

The third proportional to 339,080 and 512,992 is: 776,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,080 : 512,992 = 512,992 : x
  2. Step 2: Convert to fraction form
    339,080/512,992 = 512,992/x
  3. Step 3: Cross multiply
    339,080x = 512,992 × 512,992
  4. Step 4: Simplify right side
    339,080x = 263,160,792,064
  5. Step 5: Solve for x
    x = 263,160,792,064/339,080
  6. Step 6: Final answer
    x = 776,102.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.