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Finding the Third Proportional to 407,978 and 888,532

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Solution

The third proportional to 407,978 and 888,532 is: 1,935,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,978 : 888,532 = 888,532 : x
  2. Step 2: Convert to fraction form
    407,978/888,532 = 888,532/x
  3. Step 3: Cross multiply
    407,978x = 888,532 × 888,532
  4. Step 4: Simplify right side
    407,978x = 789,489,115,024
  5. Step 5: Solve for x
    x = 789,489,115,024/407,978
  6. Step 6: Final answer
    x = 1,935,126.69

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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.