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Finding the Third Proportional to 407,811 and 629,896.50

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Solution

The third proportional to 407,811 and 629,896.50 is: 972,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,811 : 629,896.50 = 629,896.50 : x
  2. Step 2: Convert to fraction form
    407,811/629,896.50 = 629,896.50/x
  3. Step 3: Cross multiply
    407,811x = 629,896.50 × 629,896.50
  4. Step 4: Simplify right side
    407,811x = 396,769,600,712.25
  5. Step 5: Solve for x
    x = 396,769,600,712.25/407,811
  6. Step 6: Final answer
    x = 972,925.20

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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.