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Finding the Third Proportional to 280,738.13 and 431,950.50

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Solution

The third proportional to 280,738.13 and 431,950.50 is: 664,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,738.13 : 431,950.50 = 431,950.50 : x
  2. Step 2: Convert to fraction form
    280,738.13/431,950.50 = 431,950.50/x
  3. Step 3: Cross multiply
    280,738.13x = 431,950.50 × 431,950.50
  4. Step 4: Simplify right side
    280,738.13x = 186,581,234,450.25
  5. Step 5: Solve for x
    x = 186,581,234,450.25/280,738.13
  6. Step 6: Final answer
    x = 664,609.53

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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.