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Finding the Third Proportional to 339,556 and 707,017

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Solution

The third proportional to 339,556 and 707,017 is: 1,472,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,556 : 707,017 = 707,017 : x
  2. Step 2: Convert to fraction form
    339,556/707,017 = 707,017/x
  3. Step 3: Cross multiply
    339,556x = 707,017 × 707,017
  4. Step 4: Simplify right side
    339,556x = 499,873,038,289
  5. Step 5: Solve for x
    x = 499,873,038,289/339,556
  6. Step 6: Final answer
    x = 1,472,137.26

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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.