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Finding the Third Proportional to 365,415.75 and 813,876.75

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Solution

The third proportional to 365,415.75 and 813,876.75 is: 1,812,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,415.75 : 813,876.75 = 813,876.75 : x
  2. Step 2: Convert to fraction form
    365,415.75/813,876.75 = 813,876.75/x
  3. Step 3: Cross multiply
    365,415.75x = 813,876.75 × 813,876.75
  4. Step 4: Simplify right side
    365,415.75x = 662,395,364,190.56
  5. Step 5: Solve for x
    x = 662,395,364,190.56/365,415.75
  6. Step 6: Final answer
    x = 1,812,717.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.