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Finding the Third Proportional to 150,288 and 317,340

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Solution

The third proportional to 150,288 and 317,340 is: 670,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,288 : 317,340 = 317,340 : x
  2. Step 2: Convert to fraction form
    150,288/317,340 = 317,340/x
  3. Step 3: Cross multiply
    150,288x = 317,340 × 317,340
  4. Step 4: Simplify right side
    150,288x = 100,704,675,600
  5. Step 5: Solve for x
    x = 100,704,675,600/150,288
  6. Step 6: Final answer
    x = 670,077.95

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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.