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Finding the Third Proportional to 311,649 and 666,498

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Solution

The third proportional to 311,649 and 666,498 is: 1,425,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,649 : 666,498 = 666,498 : x
  2. Step 2: Convert to fraction form
    311,649/666,498 = 666,498/x
  3. Step 3: Cross multiply
    311,649x = 666,498 × 666,498
  4. Step 4: Simplify right side
    311,649x = 444,219,584,004
  5. Step 5: Solve for x
    x = 444,219,584,004/311,649
  6. Step 6: Final answer
    x = 1,425,384.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.