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Finding the Third Proportional to 330,636 and 675,282

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Solution

The third proportional to 330,636 and 675,282 is: 1,379,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,636 : 675,282 = 675,282 : x
  2. Step 2: Convert to fraction form
    330,636/675,282 = 675,282/x
  3. Step 3: Cross multiply
    330,636x = 675,282 × 675,282
  4. Step 4: Simplify right side
    330,636x = 456,005,779,524
  5. Step 5: Solve for x
    x = 456,005,779,524/330,636
  6. Step 6: Final answer
    x = 1,379,177.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.