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Finding the Third Proportional to 418,010 and 636,795

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Solution

The third proportional to 418,010 and 636,795 is: 970,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,010 : 636,795 = 636,795 : x
  2. Step 2: Convert to fraction form
    418,010/636,795 = 636,795/x
  3. Step 3: Cross multiply
    418,010x = 636,795 × 636,795
  4. Step 4: Simplify right side
    418,010x = 405,507,872,025
  5. Step 5: Solve for x
    x = 405,507,872,025/418,010
  6. Step 6: Final answer
    x = 970,091.32

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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.