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Finding the Third Proportional to 456,721 and 981,481

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Solution

The third proportional to 456,721 and 981,481 is: 2,109,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,721 : 981,481 = 981,481 : x
  2. Step 2: Convert to fraction form
    456,721/981,481 = 981,481/x
  3. Step 3: Cross multiply
    456,721x = 981,481 × 981,481
  4. Step 4: Simplify right side
    456,721x = 963,304,953,361
  5. Step 5: Solve for x
    x = 963,304,953,361/456,721
  6. Step 6: Final answer
    x = 2,109,175.96

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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.