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Finding the Third Proportional to 769,689 and 1,639,024

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Solution

The third proportional to 769,689 and 1,639,024 is: 3,490,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,689 : 1,639,024 = 1,639,024 : x
  2. Step 2: Convert to fraction form
    769,689/1,639,024 = 1,639,024/x
  3. Step 3: Cross multiply
    769,689x = 1,639,024 × 1,639,024
  4. Step 4: Simplify right side
    769,689x = 2,686,399,672,576
  5. Step 5: Solve for x
    x = 2,686,399,672,576/769,689
  6. Step 6: Final answer
    x = 3,490,240.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.