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Finding the Third Proportional to 312,509 and 647,173

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Solution

The third proportional to 312,509 and 647,173 is: 1,340,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,509 : 647,173 = 647,173 : x
  2. Step 2: Convert to fraction form
    312,509/647,173 = 647,173/x
  3. Step 3: Cross multiply
    312,509x = 647,173 × 647,173
  4. Step 4: Simplify right side
    312,509x = 418,832,891,929
  5. Step 5: Solve for x
    x = 418,832,891,929/312,509
  6. Step 6: Final answer
    x = 1,340,226.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.