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Finding the Third Proportional to 309,584 and 675,544

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Solution

The third proportional to 309,584 and 675,544 is: 1,474,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,584 : 675,544 = 675,544 : x
  2. Step 2: Convert to fraction form
    309,584/675,544 = 675,544/x
  3. Step 3: Cross multiply
    309,584x = 675,544 × 675,544
  4. Step 4: Simplify right side
    309,584x = 456,359,695,936
  5. Step 5: Solve for x
    x = 456,359,695,936/309,584
  6. Step 6: Final answer
    x = 1,474,106.21

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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.