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Finding the Third Proportional to 318,658 and 693,512

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Solution

The third proportional to 318,658 and 693,512 is: 1,509,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,658 : 693,512 = 693,512 : x
  2. Step 2: Convert to fraction form
    318,658/693,512 = 693,512/x
  3. Step 3: Cross multiply
    318,658x = 693,512 × 693,512
  4. Step 4: Simplify right side
    318,658x = 480,958,894,144
  5. Step 5: Solve for x
    x = 480,958,894,144/318,658
  6. Step 6: Final answer
    x = 1,509,326.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.