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Finding the Third Proportional to 149,456 and 317,137

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Solution

The third proportional to 149,456 and 317,137 is: 672,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,456 : 317,137 = 317,137 : x
  2. Step 2: Convert to fraction form
    149,456/317,137 = 317,137/x
  3. Step 3: Cross multiply
    149,456x = 317,137 × 317,137
  4. Step 4: Simplify right side
    149,456x = 100,575,876,769
  5. Step 5: Solve for x
    x = 100,575,876,769/149,456
  6. Step 6: Final answer
    x = 672,946.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.