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Finding the Third Proportional to 369,532 and 811,800

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Solution

The third proportional to 369,532 and 811,800 is: 1,783,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,532 : 811,800 = 811,800 : x
  2. Step 2: Convert to fraction form
    369,532/811,800 = 811,800/x
  3. Step 3: Cross multiply
    369,532x = 811,800 × 811,800
  4. Step 4: Simplify right side
    369,532x = 659,019,240,000
  5. Step 5: Solve for x
    x = 659,019,240,000/369,532
  6. Step 6: Final answer
    x = 1,783,388.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.