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Finding the Third Proportional to 476,868 and 668,370

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Solution

The third proportional to 476,868 and 668,370 is: 936,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,868 : 668,370 = 668,370 : x
  2. Step 2: Convert to fraction form
    476,868/668,370 = 668,370/x
  3. Step 3: Cross multiply
    476,868x = 668,370 × 668,370
  4. Step 4: Simplify right side
    476,868x = 446,718,456,900
  5. Step 5: Solve for x
    x = 446,718,456,900/476,868
  6. Step 6: Final answer
    x = 936,775.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.