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Finding the Third Proportional to 372,400 and 809,600

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Solution

The third proportional to 372,400 and 809,600 is: 1,760,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,400 : 809,600 = 809,600 : x
  2. Step 2: Convert to fraction form
    372,400/809,600 = 809,600/x
  3. Step 3: Cross multiply
    372,400x = 809,600 × 809,600
  4. Step 4: Simplify right side
    372,400x = 655,452,160,000
  5. Step 5: Solve for x
    x = 655,452,160,000/372,400
  6. Step 6: Final answer
    x = 1,760,075.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.