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Finding the Third Proportional to 339,447 and 706,785

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Solution

The third proportional to 339,447 and 706,785 is: 1,471,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,447 : 706,785 = 706,785 : x
  2. Step 2: Convert to fraction form
    339,447/706,785 = 706,785/x
  3. Step 3: Cross multiply
    339,447x = 706,785 × 706,785
  4. Step 4: Simplify right side
    339,447x = 499,545,036,225
  5. Step 5: Solve for x
    x = 499,545,036,225/339,447
  6. Step 6: Final answer
    x = 1,471,643.69

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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.