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Finding the Third Proportional to 313,840 and 670,768

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Solution

The third proportional to 313,840 and 670,768 is: 1,433,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,840 : 670,768 = 670,768 : x
  2. Step 2: Convert to fraction form
    313,840/670,768 = 670,768/x
  3. Step 3: Cross multiply
    313,840x = 670,768 × 670,768
  4. Step 4: Simplify right side
    313,840x = 449,929,709,824
  5. Step 5: Solve for x
    x = 449,929,709,824/313,840
  6. Step 6: Final answer
    x = 1,433,627.68

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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.