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Finding the Third Proportional to 303,873.75 and 442,485

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Solution

The third proportional to 303,873.75 and 442,485 is: 644,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,873.75 : 442,485 = 442,485 : x
  2. Step 2: Convert to fraction form
    303,873.75/442,485 = 442,485/x
  3. Step 3: Cross multiply
    303,873.75x = 442,485 × 442,485
  4. Step 4: Simplify right side
    303,873.75x = 195,792,975,225
  5. Step 5: Solve for x
    x = 195,792,975,225/303,873.75
  6. Step 6: Final answer
    x = 644,323.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.