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Finding the Third Proportional to 208,488 and 455,214

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Solution

The third proportional to 208,488 and 455,214 is: 993,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,488 : 455,214 = 455,214 : x
  2. Step 2: Convert to fraction form
    208,488/455,214 = 455,214/x
  3. Step 3: Cross multiply
    208,488x = 455,214 × 455,214
  4. Step 4: Simplify right side
    208,488x = 207,219,785,796
  5. Step 5: Solve for x
    x = 207,219,785,796/208,488
  6. Step 6: Final answer
    x = 993,917.09

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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.