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Finding the Third Proportional to 476,860 and 668,416

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Solution

The third proportional to 476,860 and 668,416 is: 936,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,860 : 668,416 = 668,416 : x
  2. Step 2: Convert to fraction form
    476,860/668,416 = 668,416/x
  3. Step 3: Cross multiply
    476,860x = 668,416 × 668,416
  4. Step 4: Simplify right side
    476,860x = 446,779,949,056
  5. Step 5: Solve for x
    x = 446,779,949,056/476,860
  6. Step 6: Final answer
    x = 936,920.58

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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.