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Finding the Third Proportional to 280,522 and 394,575

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Solution

The third proportional to 280,522 and 394,575 is: 554,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,522 : 394,575 = 394,575 : x
  2. Step 2: Convert to fraction form
    280,522/394,575 = 394,575/x
  3. Step 3: Cross multiply
    280,522x = 394,575 × 394,575
  4. Step 4: Simplify right side
    280,522x = 155,689,430,625
  5. Step 5: Solve for x
    x = 155,689,430,625/280,522
  6. Step 6: Final answer
    x = 554,999.00

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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.