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Finding the Third Proportional to 412,798.78 and 581,310.42

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Solution

The third proportional to 412,798.78 and 581,310.42 is: 818,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,798.78 : 581,310.42 = 581,310.42 : x
  2. Step 2: Convert to fraction form
    412,798.78/581,310.42 = 581,310.42/x
  3. Step 3: Cross multiply
    412,798.78x = 581,310.42 × 581,310.42
  4. Step 4: Simplify right side
    412,798.78x = 337,921,806,580.49
  5. Step 5: Solve for x
    x = 337,921,806,580.49/412,798.78
  6. Step 6: Final answer
    x = 818,611.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.