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Finding the Third Proportional to 161,580 and 330,995

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Solution

The third proportional to 161,580 and 330,995 is: 678,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,580 : 330,995 = 330,995 : x
  2. Step 2: Convert to fraction form
    161,580/330,995 = 330,995/x
  3. Step 3: Cross multiply
    161,580x = 330,995 × 330,995
  4. Step 4: Simplify right side
    161,580x = 109,557,690,025
  5. Step 5: Solve for x
    x = 109,557,690,025/161,580
  6. Step 6: Final answer
    x = 678,039.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.