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Finding the Third Proportional to 350,408 and 768,636

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Solution

The third proportional to 350,408 and 768,636 is: 1,686,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,408 : 768,636 = 768,636 : x
  2. Step 2: Convert to fraction form
    350,408/768,636 = 768,636/x
  3. Step 3: Cross multiply
    350,408x = 768,636 × 768,636
  4. Step 4: Simplify right side
    350,408x = 590,801,300,496
  5. Step 5: Solve for x
    x = 590,801,300,496/350,408
  6. Step 6: Final answer
    x = 1,686,038.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.