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Finding the Third Proportional to 381,712.50 and 573,419.25

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Solution

The third proportional to 381,712.50 and 573,419.25 is: 861,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,712.50 : 573,419.25 = 573,419.25 : x
  2. Step 2: Convert to fraction form
    381,712.50/573,419.25 = 573,419.25/x
  3. Step 3: Cross multiply
    381,712.50x = 573,419.25 × 573,419.25
  4. Step 4: Simplify right side
    381,712.50x = 328,809,636,270.56
  5. Step 5: Solve for x
    x = 328,809,636,270.56/381,712.50
  6. Step 6: Final answer
    x = 861,406.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.