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Finding the Third Proportional to 316,596.75 and 677,478.75

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Solution

The third proportional to 316,596.75 and 677,478.75 is: 1,449,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,596.75 : 677,478.75 = 677,478.75 : x
  2. Step 2: Convert to fraction form
    316,596.75/677,478.75 = 677,478.75/x
  3. Step 3: Cross multiply
    316,596.75x = 677,478.75 × 677,478.75
  4. Step 4: Simplify right side
    316,596.75x = 458,977,456,701.56
  5. Step 5: Solve for x
    x = 458,977,456,701.56/316,596.75
  6. Step 6: Final answer
    x = 1,449,722.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.