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Finding the Third Proportional to 339,251 and 706,409

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Solution

The third proportional to 339,251 and 706,409 is: 1,470,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,251 : 706,409 = 706,409 : x
  2. Step 2: Convert to fraction form
    339,251/706,409 = 706,409/x
  3. Step 3: Cross multiply
    339,251x = 706,409 × 706,409
  4. Step 4: Simplify right side
    339,251x = 499,013,675,281
  5. Step 5: Solve for x
    x = 499,013,675,281/339,251
  6. Step 6: Final answer
    x = 1,470,927.65

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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.