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Finding the Third Proportional to 210,971 and 454,925

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Solution

The third proportional to 210,971 and 454,925 is: 980,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,971 : 454,925 = 454,925 : x
  2. Step 2: Convert to fraction form
    210,971/454,925 = 454,925/x
  3. Step 3: Cross multiply
    210,971x = 454,925 × 454,925
  4. Step 4: Simplify right side
    210,971x = 206,956,755,625
  5. Step 5: Solve for x
    x = 206,956,755,625/210,971
  6. Step 6: Final answer
    x = 980,972.53

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Why These Related Problems?

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