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Finding the Third Proportional to 214,930 and 455,442

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Solution

The third proportional to 214,930 and 455,442 is: 965,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,930 : 455,442 = 455,442 : x
  2. Step 2: Convert to fraction form
    214,930/455,442 = 455,442/x
  3. Step 3: Cross multiply
    214,930x = 455,442 × 455,442
  4. Step 4: Simplify right side
    214,930x = 207,427,415,364
  5. Step 5: Solve for x
    x = 207,427,415,364/214,930
  6. Step 6: Final answer
    x = 965,092.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.