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Finding the Third Proportional to 405,776.25 and 630,786.38

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Solution

The third proportional to 405,776.25 and 630,786.38 is: 980,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,776.25 : 630,786.38 = 630,786.38 : x
  2. Step 2: Convert to fraction form
    405,776.25/630,786.38 = 630,786.38/x
  3. Step 3: Cross multiply
    405,776.25x = 630,786.38 × 630,786.38
  4. Step 4: Simplify right side
    405,776.25x = 397,891,450,885.64
  5. Step 5: Solve for x
    x = 397,891,450,885.64/405,776.25
  6. Step 6: Final answer
    x = 980,568.60

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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.