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Finding the Third Proportional to 213,906 and 455,340

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Solution

The third proportional to 213,906 and 455,340 is: 969,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,906 : 455,340 = 455,340 : x
  2. Step 2: Convert to fraction form
    213,906/455,340 = 455,340/x
  3. Step 3: Cross multiply
    213,906x = 455,340 × 455,340
  4. Step 4: Simplify right side
    213,906x = 207,334,515,600
  5. Step 5: Solve for x
    x = 207,334,515,600/213,906
  6. Step 6: Final answer
    x = 969,278.63

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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.