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Finding the Third Proportional to 1,236,513 and 2,690,769

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Solution

The third proportional to 1,236,513 and 2,690,769 is: 5,855,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,513 : 2,690,769 = 2,690,769 : x
  2. Step 2: Convert to fraction form
    1,236,513/2,690,769 = 2,690,769/x
  3. Step 3: Cross multiply
    1,236,513x = 2,690,769 × 2,690,769
  4. Step 4: Simplify right side
    1,236,513x = 7,240,237,811,361
  5. Step 5: Solve for x
    x = 7,240,237,811,361/1,236,513
  6. Step 6: Final answer
    x = 5,855,367.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.