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Finding the Third Proportional to 285,776.44 and 639,214.88

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Solution

The third proportional to 285,776.44 and 639,214.88 is: 1,429,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,776.44 : 639,214.88 = 639,214.88 : x
  2. Step 2: Convert to fraction form
    285,776.44/639,214.88 = 639,214.88/x
  3. Step 3: Cross multiply
    285,776.44x = 639,214.88 × 639,214.88
  4. Step 4: Simplify right side
    285,776.44x = 408,595,656,421.27
  5. Step 5: Solve for x
    x = 408,595,656,421.27/285,776.44
  6. Step 6: Final answer
    x = 1,429,773.78

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.