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Finding the Third Proportional to 360,572 and 769,405

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Solution

The third proportional to 360,572 and 769,405 is: 1,641,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,572 : 769,405 = 769,405 : x
  2. Step 2: Convert to fraction form
    360,572/769,405 = 769,405/x
  3. Step 3: Cross multiply
    360,572x = 769,405 × 769,405
  4. Step 4: Simplify right side
    360,572x = 591,984,054,025
  5. Step 5: Solve for x
    x = 591,984,054,025/360,572
  6. Step 6: Final answer
    x = 1,641,791.53

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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.