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Finding the Third Proportional to 431,790.75 and 648,101.25

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Solution

The third proportional to 431,790.75 and 648,101.25 is: 972,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,790.75 : 648,101.25 = 648,101.25 : x
  2. Step 2: Convert to fraction form
    431,790.75/648,101.25 = 648,101.25/x
  3. Step 3: Cross multiply
    431,790.75x = 648,101.25 × 648,101.25
  4. Step 4: Simplify right side
    431,790.75x = 420,035,230,251.56
  5. Step 5: Solve for x
    x = 420,035,230,251.56/431,790.75
  6. Step 6: Final answer
    x = 972,774.96

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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.