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Finding the Third Proportional to 280,738.50 and 431,951

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Solution

The third proportional to 280,738.50 and 431,951 is: 664,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,738.50 : 431,951 = 431,951 : x
  2. Step 2: Convert to fraction form
    280,738.50/431,951 = 431,951/x
  3. Step 3: Cross multiply
    280,738.50x = 431,951 × 431,951
  4. Step 4: Simplify right side
    280,738.50x = 186,581,666,401
  5. Step 5: Solve for x
    x = 186,581,666,401/280,738.50
  6. Step 6: Final answer
    x = 664,610.18

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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.