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Finding the Third Proportional to 339,282 and 737,586

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Solution

The third proportional to 339,282 and 737,586 is: 1,603,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,282 : 737,586 = 737,586 : x
  2. Step 2: Convert to fraction form
    339,282/737,586 = 737,586/x
  3. Step 3: Cross multiply
    339,282x = 737,586 × 737,586
  4. Step 4: Simplify right side
    339,282x = 544,033,107,396
  5. Step 5: Solve for x
    x = 544,033,107,396/339,282
  6. Step 6: Final answer
    x = 1,603,483.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.