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Finding the Third Proportional to 407,738 and 629,787

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Solution

The third proportional to 407,738 and 629,787 is: 972,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,738 : 629,787 = 629,787 : x
  2. Step 2: Convert to fraction form
    407,738/629,787 = 629,787/x
  3. Step 3: Cross multiply
    407,738x = 629,787 × 629,787
  4. Step 4: Simplify right side
    407,738x = 396,631,665,369
  5. Step 5: Solve for x
    x = 396,631,665,369/407,738
  6. Step 6: Final answer
    x = 972,761.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.