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Finding the Third Proportional to 213,908 and 455,344

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Solution

The third proportional to 213,908 and 455,344 is: 969,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,908 : 455,344 = 455,344 : x
  2. Step 2: Convert to fraction form
    213,908/455,344 = 455,344/x
  3. Step 3: Cross multiply
    213,908x = 455,344 × 455,344
  4. Step 4: Simplify right side
    213,908x = 207,338,158,336
  5. Step 5: Solve for x
    x = 207,338,158,336/213,908
  6. Step 6: Final answer
    x = 969,286.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.