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Finding the Third Proportional to 418,104 and 636,984

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Solution

The third proportional to 418,104 and 636,984 is: 970,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,104 : 636,984 = 636,984 : x
  2. Step 2: Convert to fraction form
    418,104/636,984 = 636,984/x
  3. Step 3: Cross multiply
    418,104x = 636,984 × 636,984
  4. Step 4: Simplify right side
    418,104x = 405,748,616,256
  5. Step 5: Solve for x
    x = 405,748,616,256/418,104
  6. Step 6: Final answer
    x = 970,449.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.