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Finding the Third Proportional to 360,636 and 769,520

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Solution

The third proportional to 360,636 and 769,520 is: 1,641,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,636 : 769,520 = 769,520 : x
  2. Step 2: Convert to fraction form
    360,636/769,520 = 769,520/x
  3. Step 3: Cross multiply
    360,636x = 769,520 × 769,520
  4. Step 4: Simplify right side
    360,636x = 592,161,030,400
  5. Step 5: Solve for x
    x = 592,161,030,400/360,636
  6. Step 6: Final answer
    x = 1,641,990.90

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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.