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Finding the Third Proportional to 405,774.56 and 630,811.55

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Solution

The third proportional to 405,774.56 and 630,811.55 is: 980,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,774.56 : 630,811.55 = 630,811.55 : x
  2. Step 2: Convert to fraction form
    405,774.56/630,811.55 = 630,811.55/x
  3. Step 3: Cross multiply
    405,774.56x = 630,811.55 × 630,811.55
  4. Step 4: Simplify right side
    405,774.56x = 397,923,207,670.83
  5. Step 5: Solve for x
    x = 397,923,207,670.83/405,774.56
  6. Step 6: Final answer
    x = 980,650.94

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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.