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Finding the Third Proportional to 154,163.25 and 312,579

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Solution

The third proportional to 154,163.25 and 312,579 is: 633,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,163.25 : 312,579 = 312,579 : x
  2. Step 2: Convert to fraction form
    154,163.25/312,579 = 312,579/x
  3. Step 3: Cross multiply
    154,163.25x = 312,579 × 312,579
  4. Step 4: Simplify right side
    154,163.25x = 97,705,631,241
  5. Step 5: Solve for x
    x = 97,705,631,241/154,163.25
  6. Step 6: Final answer
    x = 633,780.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.