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Finding the Third Proportional to 211,470 and 308,766

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Solution

The third proportional to 211,470 and 308,766 is: 450,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,470 : 308,766 = 308,766 : x
  2. Step 2: Convert to fraction form
    211,470/308,766 = 308,766/x
  3. Step 3: Cross multiply
    211,470x = 308,766 × 308,766
  4. Step 4: Simplify right side
    211,470x = 95,336,442,756
  5. Step 5: Solve for x
    x = 95,336,442,756/211,470
  6. Step 6: Final answer
    x = 450,827.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.