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Finding the Third Proportional to 150,271 and 317,309

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Solution

The third proportional to 150,271 and 317,309 is: 670,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,271 : 317,309 = 317,309 : x
  2. Step 2: Convert to fraction form
    150,271/317,309 = 317,309/x
  3. Step 3: Cross multiply
    150,271x = 317,309 × 317,309
  4. Step 4: Simplify right side
    150,271x = 100,685,001,481
  5. Step 5: Solve for x
    x = 100,685,001,481/150,271
  6. Step 6: Final answer
    x = 670,022.84

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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.