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Finding the Third Proportional to 155,628 and 331,992

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Solution

The third proportional to 155,628 and 331,992 is: 708,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,628 : 331,992 = 331,992 : x
  2. Step 2: Convert to fraction form
    155,628/331,992 = 331,992/x
  3. Step 3: Cross multiply
    155,628x = 331,992 × 331,992
  4. Step 4: Simplify right side
    155,628x = 110,218,688,064
  5. Step 5: Solve for x
    x = 110,218,688,064/155,628
  6. Step 6: Final answer
    x = 708,218.88

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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.