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Finding the Third Proportional to 633,491 and 1,408,642

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Solution

The third proportional to 633,491 and 1,408,642 is: 3,132,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,491 : 1,408,642 = 1,408,642 : x
  2. Step 2: Convert to fraction form
    633,491/1,408,642 = 1,408,642/x
  3. Step 3: Cross multiply
    633,491x = 1,408,642 × 1,408,642
  4. Step 4: Simplify right side
    633,491x = 1,984,272,284,164
  5. Step 5: Solve for x
    x = 1,984,272,284,164/633,491
  6. Step 6: Final answer
    x = 3,132,281.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.