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Finding the Third Proportional to 218,338 and 455,346

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Solution

The third proportional to 218,338 and 455,346 is: 949,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,338 : 455,346 = 455,346 : x
  2. Step 2: Convert to fraction form
    218,338/455,346 = 455,346/x
  3. Step 3: Cross multiply
    218,338x = 455,346 × 455,346
  4. Step 4: Simplify right side
    218,338x = 207,339,979,716
  5. Step 5: Solve for x
    x = 207,339,979,716/218,338
  6. Step 6: Final answer
    x = 949,628.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.