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Finding the Third Proportional to 318,765.38 and 693,606.38

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Solution

The third proportional to 318,765.38 and 693,606.38 is: 1,509,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,765.38 : 693,606.38 = 693,606.38 : x
  2. Step 2: Convert to fraction form
    318,765.38/693,606.38 = 693,606.38/x
  3. Step 3: Cross multiply
    318,765.38x = 693,606.38 × 693,606.38
  4. Step 4: Simplify right side
    318,765.38x = 481,089,803,440.64
  5. Step 5: Solve for x
    x = 481,089,803,440.64/318,765.38
  6. Step 6: Final answer
    x = 1,509,228.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.