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Finding the Third Proportional to 213,900 and 455,328

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Solution

The third proportional to 213,900 and 455,328 is: 969,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,900 : 455,328 = 455,328 : x
  2. Step 2: Convert to fraction form
    213,900/455,328 = 455,328/x
  3. Step 3: Cross multiply
    213,900x = 455,328 × 455,328
  4. Step 4: Simplify right side
    213,900x = 207,323,587,584
  5. Step 5: Solve for x
    x = 207,323,587,584/213,900
  6. Step 6: Final answer
    x = 969,254.73

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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.