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Finding the Third Proportional to 451,717 and 660,579.50

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Solution

The third proportional to 451,717 and 660,579.50 is: 966,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,717 : 660,579.50 = 660,579.50 : x
  2. Step 2: Convert to fraction form
    451,717/660,579.50 = 660,579.50/x
  3. Step 3: Cross multiply
    451,717x = 660,579.50 × 660,579.50
  4. Step 4: Simplify right side
    451,717x = 436,365,275,820.25
  5. Step 5: Solve for x
    x = 436,365,275,820.25/451,717
  6. Step 6: Final answer
    x = 966,014.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.