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Finding the Third Proportional to 208,512 and 455,262

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Solution

The third proportional to 208,512 and 455,262 is: 994,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512 : 455,262 = 455,262 : x
  2. Step 2: Convert to fraction form
    208,512/455,262 = 455,262/x
  3. Step 3: Cross multiply
    208,512x = 455,262 × 455,262
  4. Step 4: Simplify right side
    208,512x = 207,263,488,644
  5. Step 5: Solve for x
    x = 207,263,488,644/208,512
  6. Step 6: Final answer
    x = 994,012.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.