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Finding the Third Proportional to 280,303 and 440,542

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Solution

The third proportional to 280,303 and 440,542 is: 692,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,303 : 440,542 = 440,542 : x
  2. Step 2: Convert to fraction form
    280,303/440,542 = 440,542/x
  3. Step 3: Cross multiply
    280,303x = 440,542 × 440,542
  4. Step 4: Simplify right side
    280,303x = 194,077,253,764
  5. Step 5: Solve for x
    x = 194,077,253,764/280,303
  6. Step 6: Final answer
    x = 692,383.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.