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Finding the Third Proportional to 313,614 and 681,984

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Solution

The third proportional to 313,614 and 681,984 is: 1,483,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,614 : 681,984 = 681,984 : x
  2. Step 2: Convert to fraction form
    313,614/681,984 = 681,984/x
  3. Step 3: Cross multiply
    313,614x = 681,984 × 681,984
  4. Step 4: Simplify right side
    313,614x = 465,102,176,256
  5. Step 5: Solve for x
    x = 465,102,176,256/313,614
  6. Step 6: Final answer
    x = 1,483,040.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.