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Finding the Third Proportional to 210,978 and 454,950

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Solution

The third proportional to 210,978 and 454,950 is: 981,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,978 : 454,950 = 454,950 : x
  2. Step 2: Convert to fraction form
    210,978/454,950 = 454,950/x
  3. Step 3: Cross multiply
    210,978x = 454,950 × 454,950
  4. Step 4: Simplify right side
    210,978x = 206,979,502,500
  5. Step 5: Solve for x
    x = 206,979,502,500/210,978
  6. Step 6: Final answer
    x = 981,047.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.