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Finding the Third Proportional to 618,502.50 and 1,312,821

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Solution

The third proportional to 618,502.50 and 1,312,821 is: 2,786,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,502.50 : 1,312,821 = 1,312,821 : x
  2. Step 2: Convert to fraction form
    618,502.50/1,312,821 = 1,312,821/x
  3. Step 3: Cross multiply
    618,502.50x = 1,312,821 × 1,312,821
  4. Step 4: Simplify right side
    618,502.50x = 1,723,498,978,041
  5. Step 5: Solve for x
    x = 1,723,498,978,041/618,502.50
  6. Step 6: Final answer
    x = 2,786,567.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.