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Finding the Third Proportional to 408,240 and 612,015.75

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Solution

The third proportional to 408,240 and 612,015.75 is: 917,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,240 : 612,015.75 = 612,015.75 : x
  2. Step 2: Convert to fraction form
    408,240/612,015.75 = 612,015.75/x
  3. Step 3: Cross multiply
    408,240x = 612,015.75 × 612,015.75
  4. Step 4: Simplify right side
    408,240x = 374,563,278,248.06
  5. Step 5: Solve for x
    x = 374,563,278,248.06/408,240
  6. Step 6: Final answer
    x = 917,507.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.