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Finding the Third Proportional to 150,489 and 313,433

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Solution

The third proportional to 150,489 and 313,433 is: 652,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,489 : 313,433 = 313,433 : x
  2. Step 2: Convert to fraction form
    150,489/313,433 = 313,433/x
  3. Step 3: Cross multiply
    150,489x = 313,433 × 313,433
  4. Step 4: Simplify right side
    150,489x = 98,240,245,489
  5. Step 5: Solve for x
    x = 98,240,245,489/150,489
  6. Step 6: Final answer
    x = 652,806.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.