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Finding the Third Proportional to 310,638 and 679,434

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Solution

The third proportional to 310,638 and 679,434 is: 1,486,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,638 : 679,434 = 679,434 : x
  2. Step 2: Convert to fraction form
    310,638/679,434 = 679,434/x
  3. Step 3: Cross multiply
    310,638x = 679,434 × 679,434
  4. Step 4: Simplify right side
    310,638x = 461,630,560,356
  5. Step 5: Solve for x
    x = 461,630,560,356/310,638
  6. Step 6: Final answer
    x = 1,486,072.41

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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.