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Finding the Third Proportional to 313,929 and 687,575

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Solution

The third proportional to 313,929 and 687,575 is: 1,505,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929 : 687,575 = 687,575 : x
  2. Step 2: Convert to fraction form
    313,929/687,575 = 687,575/x
  3. Step 3: Cross multiply
    313,929x = 687,575 × 687,575
  4. Step 4: Simplify right side
    313,929x = 472,759,380,625
  5. Step 5: Solve for x
    x = 472,759,380,625/313,929
  6. Step 6: Final answer
    x = 1,505,943.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.