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Finding the Third Proportional to 214,972 and 455,554

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Solution

The third proportional to 214,972 and 455,554 is: 965,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,972 : 455,554 = 455,554 : x
  2. Step 2: Convert to fraction form
    214,972/455,554 = 455,554/x
  3. Step 3: Cross multiply
    214,972x = 455,554 × 455,554
  4. Step 4: Simplify right side
    214,972x = 207,529,446,916
  5. Step 5: Solve for x
    x = 207,529,446,916/214,972
  6. Step 6: Final answer
    x = 965,378.97

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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.