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Finding the Third Proportional to 309,104 and 677,320

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Solution

The third proportional to 309,104 and 677,320 is: 1,484,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,104 : 677,320 = 677,320 : x
  2. Step 2: Convert to fraction form
    309,104/677,320 = 677,320/x
  3. Step 3: Cross multiply
    309,104x = 677,320 × 677,320
  4. Step 4: Simplify right side
    309,104x = 458,762,382,400
  5. Step 5: Solve for x
    x = 458,762,382,400/309,104
  6. Step 6: Final answer
    x = 1,484,168.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.