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Finding the Third Proportional to 381,589.73 and 829,503.28

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Solution

The third proportional to 381,589.73 and 829,503.28 is: 1,803,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,589.73 : 829,503.28 = 829,503.28 : x
  2. Step 2: Convert to fraction form
    381,589.73/829,503.28 = 829,503.28/x
  3. Step 3: Cross multiply
    381,589.73x = 829,503.28 × 829,503.28
  4. Step 4: Simplify right side
    381,589.73x = 688,075,693,604.52
  5. Step 5: Solve for x
    x = 688,075,693,604.52/381,589.73
  6. Step 6: Final answer
    x = 1,803,181.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.