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Finding the Third Proportional to 410,239.69 and 621,027

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Solution

The third proportional to 410,239.69 and 621,027 is: 940,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,239.69 : 621,027 = 621,027 : x
  2. Step 2: Convert to fraction form
    410,239.69/621,027 = 621,027/x
  3. Step 3: Cross multiply
    410,239.69x = 621,027 × 621,027
  4. Step 4: Simplify right side
    410,239.69x = 385,674,534,729
  5. Step 5: Solve for x
    x = 385,674,534,729/410,239.69
  6. Step 6: Final answer
    x = 940,120.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.