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Finding the Third Proportional to 339,530 and 706,952

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Solution

The third proportional to 339,530 and 706,952 is: 1,471,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,530 : 706,952 = 706,952 : x
  2. Step 2: Convert to fraction form
    339,530/706,952 = 706,952/x
  3. Step 3: Cross multiply
    339,530x = 706,952 × 706,952
  4. Step 4: Simplify right side
    339,530x = 499,781,130,304
  5. Step 5: Solve for x
    x = 499,781,130,304/339,530
  6. Step 6: Final answer
    x = 1,471,979.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.