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Finding the Third Proportional to 150,261 and 317,289

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Solution

The third proportional to 150,261 and 317,289 is: 669,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,261 : 317,289 = 317,289 : x
  2. Step 2: Convert to fraction form
    150,261/317,289 = 317,289/x
  3. Step 3: Cross multiply
    150,261x = 317,289 × 317,289
  4. Step 4: Simplify right side
    150,261x = 100,672,309,521
  5. Step 5: Solve for x
    x = 100,672,309,521/150,261
  6. Step 6: Final answer
    x = 669,982.96

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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.