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Finding the Third Proportional to 150,416 and 320,848

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Solution

The third proportional to 150,416 and 320,848 is: 684,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,416 : 320,848 = 320,848 : x
  2. Step 2: Convert to fraction form
    150,416/320,848 = 320,848/x
  3. Step 3: Cross multiply
    150,416x = 320,848 × 320,848
  4. Step 4: Simplify right side
    150,416x = 102,943,439,104
  5. Step 5: Solve for x
    x = 102,943,439,104/150,416
  6. Step 6: Final answer
    x = 684,391.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.