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Finding the Third Proportional to 303,288 and 631,200

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Solution

The third proportional to 303,288 and 631,200 is: 1,313,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,288 : 631,200 = 631,200 : x
  2. Step 2: Convert to fraction form
    303,288/631,200 = 631,200/x
  3. Step 3: Cross multiply
    303,288x = 631,200 × 631,200
  4. Step 4: Simplify right side
    303,288x = 398,413,440,000
  5. Step 5: Solve for x
    x = 398,413,440,000/303,288
  6. Step 6: Final answer
    x = 1,313,647.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.