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Finding the Third Proportional to 215,876 and 458,058

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Solution

The third proportional to 215,876 and 458,058 is: 971,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,876 : 458,058 = 458,058 : x
  2. Step 2: Convert to fraction form
    215,876/458,058 = 458,058/x
  3. Step 3: Cross multiply
    215,876x = 458,058 × 458,058
  4. Step 4: Simplify right side
    215,876x = 209,817,131,364
  5. Step 5: Solve for x
    x = 209,817,131,364/215,876
  6. Step 6: Final answer
    x = 971,933.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.