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Finding the Third Proportional to 309,482 and 677,284

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Solution

The third proportional to 309,482 and 677,284 is: 1,482,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,482 : 677,284 = 677,284 : x
  2. Step 2: Convert to fraction form
    309,482/677,284 = 677,284/x
  3. Step 3: Cross multiply
    309,482x = 677,284 × 677,284
  4. Step 4: Simplify right side
    309,482x = 458,713,616,656
  5. Step 5: Solve for x
    x = 458,713,616,656/309,482
  6. Step 6: Final answer
    x = 1,482,198.05

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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.