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Finding the Third Proportional to 214,880 and 455,370

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Solution

The third proportional to 214,880 and 455,370 is: 965,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,880 : 455,370 = 455,370 : x
  2. Step 2: Convert to fraction form
    214,880/455,370 = 455,370/x
  3. Step 3: Cross multiply
    214,880x = 455,370 × 455,370
  4. Step 4: Simplify right side
    214,880x = 207,361,836,900
  5. Step 5: Solve for x
    x = 207,361,836,900/214,880
  6. Step 6: Final answer
    x = 965,012.27

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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.