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Finding the Third Proportional to 317,878 and 476,818

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Solution

The third proportional to 317,878 and 476,818 is: 715,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,878 : 476,818 = 476,818 : x
  2. Step 2: Convert to fraction form
    317,878/476,818 = 476,818/x
  3. Step 3: Cross multiply
    317,878x = 476,818 × 476,818
  4. Step 4: Simplify right side
    317,878x = 227,355,405,124
  5. Step 5: Solve for x
    x = 227,355,405,124/317,878
  6. Step 6: Final answer
    x = 715,228.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.