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Finding the Third Proportional to 313,072 and 670,416

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Solution

The third proportional to 313,072 and 670,416 is: 1,435,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,072 : 670,416 = 670,416 : x
  2. Step 2: Convert to fraction form
    313,072/670,416 = 670,416/x
  3. Step 3: Cross multiply
    313,072x = 670,416 × 670,416
  4. Step 4: Simplify right side
    313,072x = 449,457,613,056
  5. Step 5: Solve for x
    x = 449,457,613,056/313,072
  6. Step 6: Final answer
    x = 1,435,636.57

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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.