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Finding the Third Proportional to 412,420.50 and 862,555.75

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Solution

The third proportional to 412,420.50 and 862,555.75 is: 1,803,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,420.50 : 862,555.75 = 862,555.75 : x
  2. Step 2: Convert to fraction form
    412,420.50/862,555.75 = 862,555.75/x
  3. Step 3: Cross multiply
    412,420.50x = 862,555.75 × 862,555.75
  4. Step 4: Simplify right side
    412,420.50x = 744,002,421,858.06
  5. Step 5: Solve for x
    x = 744,002,421,858.06/412,420.50
  6. Step 6: Final answer
    x = 1,803,989.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.