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Finding the Third Proportional to 300,776 and 668,799

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Solution

The third proportional to 300,776 and 668,799 is: 1,487,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,776 : 668,799 = 668,799 : x
  2. Step 2: Convert to fraction form
    300,776/668,799 = 668,799/x
  3. Step 3: Cross multiply
    300,776x = 668,799 × 668,799
  4. Step 4: Simplify right side
    300,776x = 447,292,102,401
  5. Step 5: Solve for x
    x = 447,292,102,401/300,776
  6. Step 6: Final answer
    x = 1,487,126.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.