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Finding the Third Proportional to 211,320 and 455,930

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Solution

The third proportional to 211,320 and 455,930 is: 983,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,320 : 455,930 = 455,930 : x
  2. Step 2: Convert to fraction form
    211,320/455,930 = 455,930/x
  3. Step 3: Cross multiply
    211,320x = 455,930 × 455,930
  4. Step 4: Simplify right side
    211,320x = 207,872,164,900
  5. Step 5: Solve for x
    x = 207,872,164,900/211,320
  6. Step 6: Final answer
    x = 983,684.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.