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Finding the Third Proportional to 212,481 and 457,749

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Solution

The third proportional to 212,481 and 457,749 is: 986,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,481 : 457,749 = 457,749 : x
  2. Step 2: Convert to fraction form
    212,481/457,749 = 457,749/x
  3. Step 3: Cross multiply
    212,481x = 457,749 × 457,749
  4. Step 4: Simplify right side
    212,481x = 209,534,147,001
  5. Step 5: Solve for x
    x = 209,534,147,001/212,481
  6. Step 6: Final answer
    x = 986,131.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.