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Finding the Third Proportional to 411,984 and 636,642

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Solution

The third proportional to 411,984 and 636,642 is: 983,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,984 : 636,642 = 636,642 : x
  2. Step 2: Convert to fraction form
    411,984/636,642 = 636,642/x
  3. Step 3: Cross multiply
    411,984x = 636,642 × 636,642
  4. Step 4: Simplify right side
    411,984x = 405,313,036,164
  5. Step 5: Solve for x
    x = 405,313,036,164/411,984
  6. Step 6: Final answer
    x = 983,807.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.