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Finding the Third Proportional to 405,811.50 and 630,821.25

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Solution

The third proportional to 405,811.50 and 630,821.25 is: 980,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,811.50 : 630,821.25 = 630,821.25 : x
  2. Step 2: Convert to fraction form
    405,811.50/630,821.25 = 630,821.25/x
  3. Step 3: Cross multiply
    405,811.50x = 630,821.25 × 630,821.25
  4. Step 4: Simplify right side
    405,811.50x = 397,935,449,451.56
  5. Step 5: Solve for x
    x = 397,935,449,451.56/405,811.50
  6. Step 6: Final answer
    x = 980,591.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.