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Finding the Third Proportional to 345,069 and 704,223

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Solution

The third proportional to 345,069 and 704,223 is: 1,437,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,069 : 704,223 = 704,223 : x
  2. Step 2: Convert to fraction form
    345,069/704,223 = 704,223/x
  3. Step 3: Cross multiply
    345,069x = 704,223 × 704,223
  4. Step 4: Simplify right side
    345,069x = 495,930,033,729
  5. Step 5: Solve for x
    x = 495,930,033,729/345,069
  6. Step 6: Final answer
    x = 1,437,190.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.