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Finding the Third Proportional to 405,812 and 636,582

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Solution

The third proportional to 405,812 and 636,582 is: 998,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,812 : 636,582 = 636,582 : x
  2. Step 2: Convert to fraction form
    405,812/636,582 = 636,582/x
  3. Step 3: Cross multiply
    405,812x = 636,582 × 636,582
  4. Step 4: Simplify right side
    405,812x = 405,236,642,724
  5. Step 5: Solve for x
    x = 405,236,642,724/405,812
  6. Step 6: Final answer
    x = 998,582.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.