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Finding the Third Proportional to 312,279 and 668,904

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Solution

The third proportional to 312,279 and 668,904 is: 1,432,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,279 : 668,904 = 668,904 : x
  2. Step 2: Convert to fraction form
    312,279/668,904 = 668,904/x
  3. Step 3: Cross multiply
    312,279x = 668,904 × 668,904
  4. Step 4: Simplify right side
    312,279x = 447,432,561,216
  5. Step 5: Solve for x
    x = 447,432,561,216/312,279
  6. Step 6: Final answer
    x = 1,432,797.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.