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Finding the Third Proportional to 339,062 and 512,962

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Solution

The third proportional to 339,062 and 512,962 is: 776,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,062 : 512,962 = 512,962 : x
  2. Step 2: Convert to fraction form
    339,062/512,962 = 512,962/x
  3. Step 3: Cross multiply
    339,062x = 512,962 × 512,962
  4. Step 4: Simplify right side
    339,062x = 263,130,013,444
  5. Step 5: Solve for x
    x = 263,130,013,444/339,062
  6. Step 6: Final answer
    x = 776,052.80

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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.