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Finding the Third Proportional to 280,747.50 and 431,965.50

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Solution

The third proportional to 280,747.50 and 431,965.50 is: 664,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,747.50 : 431,965.50 = 431,965.50 : x
  2. Step 2: Convert to fraction form
    280,747.50/431,965.50 = 431,965.50/x
  3. Step 3: Cross multiply
    280,747.50x = 431,965.50 × 431,965.50
  4. Step 4: Simplify right side
    280,747.50x = 186,594,193,190.25
  5. Step 5: Solve for x
    x = 186,594,193,190.25/280,747.50
  6. Step 6: Final answer
    x = 664,633.50

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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.