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Finding the Third Proportional to 360,570 and 769,400

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Solution

The third proportional to 360,570 and 769,400 is: 1,641,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,570 : 769,400 = 769,400 : x
  2. Step 2: Convert to fraction form
    360,570/769,400 = 769,400/x
  3. Step 3: Cross multiply
    360,570x = 769,400 × 769,400
  4. Step 4: Simplify right side
    360,570x = 591,976,360,000
  5. Step 5: Solve for x
    x = 591,976,360,000/360,570
  6. Step 6: Final answer
    x = 1,641,779.29

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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.