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Finding the Third Proportional to 313.45 and 670.36

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Solution

The third proportional to 313.45 and 670.36 is: 1,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 670.36 = 670.36 : x
  2. Step 2: Convert to fraction form
    313.45/670.36 = 670.36/x
  3. Step 3: Cross multiply
    313.45x = 670.36 × 670.36
  4. Step 4: Simplify right side
    313.45x = 449,381.69
  5. Step 5: Solve for x
    x = 449,381.69/313.45
  6. Step 6: Final answer
    x = 1,433.65

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Why These Related Problems?

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