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Finding the Third Proportional to 285,622.88 and 676,690.88

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Solution

The third proportional to 285,622.88 and 676,690.88 is: 1,603,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,622.88 : 676,690.88 = 676,690.88 : x
  2. Step 2: Convert to fraction form
    285,622.88/676,690.88 = 676,690.88/x
  3. Step 3: Cross multiply
    285,622.88x = 676,690.88 × 676,690.88
  4. Step 4: Simplify right side
    285,622.88x = 457,910,540,308.27
  5. Step 5: Solve for x
    x = 457,910,540,308.27/285,622.88
  6. Step 6: Final answer
    x = 1,603,199.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.