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Finding the Third Proportional to 300,177 and 663,363

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Solution

The third proportional to 300,177 and 663,363 is: 1,465,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,177 : 663,363 = 663,363 : x
  2. Step 2: Convert to fraction form
    300,177/663,363 = 663,363/x
  3. Step 3: Cross multiply
    300,177x = 663,363 × 663,363
  4. Step 4: Simplify right side
    300,177x = 440,050,469,769
  5. Step 5: Solve for x
    x = 440,050,469,769/300,177
  6. Step 6: Final answer
    x = 1,465,969.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.