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Finding the Third Proportional to 453,683 and 990,468

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Solution

The third proportional to 453,683 and 990,468 is: 2,162,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,683 : 990,468 = 990,468 : x
  2. Step 2: Convert to fraction form
    453,683/990,468 = 990,468/x
  3. Step 3: Cross multiply
    453,683x = 990,468 × 990,468
  4. Step 4: Simplify right side
    453,683x = 981,026,859,024
  5. Step 5: Solve for x
    x = 981,026,859,024/453,683
  6. Step 6: Final answer
    x = 2,162,361.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.