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Finding the Third Proportional to 210,288 and 462,631

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Solution

The third proportional to 210,288 and 462,631 is: 1,017,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,288 : 462,631 = 462,631 : x
  2. Step 2: Convert to fraction form
    210,288/462,631 = 462,631/x
  3. Step 3: Cross multiply
    210,288x = 462,631 × 462,631
  4. Step 4: Simplify right side
    210,288x = 214,027,442,161
  5. Step 5: Solve for x
    x = 214,027,442,161/210,288
  6. Step 6: Final answer
    x = 1,017,782.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.