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Finding the Third Proportional to 618,647.63 and 1,296,427.78

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Solution

The third proportional to 618,647.63 and 1,296,427.78 is: 2,716,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,647.63 : 1,296,427.78 = 1,296,427.78 : x
  2. Step 2: Convert to fraction form
    618,647.63/1,296,427.78 = 1,296,427.78/x
  3. Step 3: Cross multiply
    618,647.63x = 1,296,427.78 × 1,296,427.78
  4. Step 4: Simplify right side
    618,647.63x = 1,680,724,991,996.80
  5. Step 5: Solve for x
    x = 1,680,724,991,996.80/618,647.63
  6. Step 6: Final answer
    x = 2,716,772.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.