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Finding the Third Proportional to 394,890.19 and 564,301.69

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Solution

The third proportional to 394,890.19 and 564,301.69 is: 806,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,890.19 : 564,301.69 = 564,301.69 : x
  2. Step 2: Convert to fraction form
    394,890.19/564,301.69 = 564,301.69/x
  3. Step 3: Cross multiply
    394,890.19x = 564,301.69 × 564,301.69
  4. Step 4: Simplify right side
    394,890.19x = 318,436,394,515.35
  5. Step 5: Solve for x
    x = 318,436,394,515.35/394,890.19
  6. Step 6: Final answer
    x = 806,392.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.