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Finding the Third Proportional to 280,521 and 394,573.50

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Solution

The third proportional to 280,521 and 394,573.50 is: 554,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,521 : 394,573.50 = 394,573.50 : x
  2. Step 2: Convert to fraction form
    280,521/394,573.50 = 394,573.50/x
  3. Step 3: Cross multiply
    280,521x = 394,573.50 × 394,573.50
  4. Step 4: Simplify right side
    280,521x = 155,688,246,902.25
  5. Step 5: Solve for x
    x = 155,688,246,902.25/280,521
  6. Step 6: Final answer
    x = 554,996.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.