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Finding the Third Proportional to 280,520 and 394,572

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Solution

The third proportional to 280,520 and 394,572 is: 554,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,520 : 394,572 = 394,572 : x
  2. Step 2: Convert to fraction form
    280,520/394,572 = 394,572/x
  3. Step 3: Cross multiply
    280,520x = 394,572 × 394,572
  4. Step 4: Simplify right side
    280,520x = 155,687,063,184
  5. Step 5: Solve for x
    x = 155,687,063,184/280,520
  6. Step 6: Final answer
    x = 554,994.52

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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.