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Finding the Third Proportional to 476,856 and 668,411

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Solution

The third proportional to 476,856 and 668,411 is: 936,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,856 : 668,411 = 668,411 : x
  2. Step 2: Convert to fraction form
    476,856/668,411 = 668,411/x
  3. Step 3: Cross multiply
    476,856x = 668,411 × 668,411
  4. Step 4: Simplify right side
    476,856x = 446,773,264,921
  5. Step 5: Solve for x
    x = 446,773,264,921/476,856
  6. Step 6: Final answer
    x = 936,914.42

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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.