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Finding the Third Proportional to 303,960 and 659,436

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Solution

The third proportional to 303,960 and 659,436 is: 1,430,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,960 : 659,436 = 659,436 : x
  2. Step 2: Convert to fraction form
    303,960/659,436 = 659,436/x
  3. Step 3: Cross multiply
    303,960x = 659,436 × 659,436
  4. Step 4: Simplify right side
    303,960x = 434,855,838,096
  5. Step 5: Solve for x
    x = 434,855,838,096/303,960
  6. Step 6: Final answer
    x = 1,430,635.08

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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.