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Finding the Third Proportional to 310,634 and 679,425

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Solution

The third proportional to 310,634 and 679,425 is: 1,486,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,634 : 679,425 = 679,425 : x
  2. Step 2: Convert to fraction form
    310,634/679,425 = 679,425/x
  3. Step 3: Cross multiply
    310,634x = 679,425 × 679,425
  4. Step 4: Simplify right side
    310,634x = 461,618,330,625
  5. Step 5: Solve for x
    x = 461,618,330,625/310,634
  6. Step 6: Final answer
    x = 1,486,052.17

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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.