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Finding the Third Proportional to 399,031.31 and 886,620.94

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Solution

The third proportional to 399,031.31 and 886,620.94 is: 1,970,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,031.31 : 886,620.94 = 886,620.94 : x
  2. Step 2: Convert to fraction form
    399,031.31/886,620.94 = 886,620.94/x
  3. Step 3: Cross multiply
    399,031.31x = 886,620.94 × 886,620.94
  4. Step 4: Simplify right side
    399,031.31x = 786,096,686,813.38
  5. Step 5: Solve for x
    x = 786,096,686,813.38/399,031.31
  6. Step 6: Final answer
    x = 1,970,012.53

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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.