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Finding the Third Proportional to 150,259 and 317,285

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Solution

The third proportional to 150,259 and 317,285 is: 669,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,259 : 317,285 = 317,285 : x
  2. Step 2: Convert to fraction form
    150,259/317,285 = 317,285/x
  3. Step 3: Cross multiply
    150,259x = 317,285 × 317,285
  4. Step 4: Simplify right side
    150,259x = 100,669,771,225
  5. Step 5: Solve for x
    x = 100,669,771,225/150,259
  6. Step 6: Final answer
    x = 669,974.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.