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Finding the Third Proportional to 318,795 and 693,669

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Solution

The third proportional to 318,795 and 693,669 is: 1,509,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,795 : 693,669 = 693,669 : x
  2. Step 2: Convert to fraction form
    318,795/693,669 = 693,669/x
  3. Step 3: Cross multiply
    318,795x = 693,669 × 693,669
  4. Step 4: Simplify right side
    318,795x = 481,176,681,561
  5. Step 5: Solve for x
    x = 481,176,681,561/318,795
  6. Step 6: Final answer
    x = 1,509,360.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.