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Finding the Third Proportional to 518,388.75 and 777,583.50

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Solution

The third proportional to 518,388.75 and 777,583.50 is: 1,166,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,388.75 : 777,583.50 = 777,583.50 : x
  2. Step 2: Convert to fraction form
    518,388.75/777,583.50 = 777,583.50/x
  3. Step 3: Cross multiply
    518,388.75x = 777,583.50 × 777,583.50
  4. Step 4: Simplify right side
    518,388.75x = 604,636,099,472.25
  5. Step 5: Solve for x
    x = 604,636,099,472.25/518,388.75
  6. Step 6: Final answer
    x = 1,166,375.81

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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.