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Finding the Third Proportional to 289,855.50 and 381,158.75

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Solution

The third proportional to 289,855.50 and 381,158.75 is: 501,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,855.50 : 381,158.75 = 381,158.75 : x
  2. Step 2: Convert to fraction form
    289,855.50/381,158.75 = 381,158.75/x
  3. Step 3: Cross multiply
    289,855.50x = 381,158.75 × 381,158.75
  4. Step 4: Simplify right side
    289,855.50x = 145,281,992,701.56
  5. Step 5: Solve for x
    x = 145,281,992,701.56/289,855.50
  6. Step 6: Final answer
    x = 501,222.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.