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Finding the Third Proportional to 389,335.50 and 863,217

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Solution

The third proportional to 389,335.50 and 863,217 is: 1,913,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,335.50 : 863,217 = 863,217 : x
  2. Step 2: Convert to fraction form
    389,335.50/863,217 = 863,217/x
  3. Step 3: Cross multiply
    389,335.50x = 863,217 × 863,217
  4. Step 4: Simplify right side
    389,335.50x = 745,143,589,089
  5. Step 5: Solve for x
    x = 745,143,589,089/389,335.50
  6. Step 6: Final answer
    x = 1,913,885.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.