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Finding the Third Proportional to 383,257.50 and 806,205

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Solution

The third proportional to 383,257.50 and 806,205 is: 1,695,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,257.50 : 806,205 = 806,205 : x
  2. Step 2: Convert to fraction form
    383,257.50/806,205 = 806,205/x
  3. Step 3: Cross multiply
    383,257.50x = 806,205 × 806,205
  4. Step 4: Simplify right side
    383,257.50x = 649,966,502,025
  5. Step 5: Solve for x
    x = 649,966,502,025/383,257.50
  6. Step 6: Final answer
    x = 1,695,900.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.