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Finding the Third Proportional to 446,408 and 670,630

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Solution

The third proportional to 446,408 and 670,630 is: 1,007,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,408 : 670,630 = 670,630 : x
  2. Step 2: Convert to fraction form
    446,408/670,630 = 670,630/x
  3. Step 3: Cross multiply
    446,408x = 670,630 × 670,630
  4. Step 4: Simplify right side
    446,408x = 449,744,596,900
  5. Step 5: Solve for x
    x = 449,744,596,900/446,408
  6. Step 6: Final answer
    x = 1,007,474.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.