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Finding the Third Proportional to 155,933 and 328,165

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Solution

The third proportional to 155,933 and 328,165 is: 690,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,933 : 328,165 = 328,165 : x
  2. Step 2: Convert to fraction form
    155,933/328,165 = 328,165/x
  3. Step 3: Cross multiply
    155,933x = 328,165 × 328,165
  4. Step 4: Simplify right side
    155,933x = 107,692,267,225
  5. Step 5: Solve for x
    x = 107,692,267,225/155,933
  6. Step 6: Final answer
    x = 690,631.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.