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Finding the Third Proportional to 185,821 and 280,473

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Solution

The third proportional to 185,821 and 280,473 is: 423,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,821 : 280,473 = 280,473 : x
  2. Step 2: Convert to fraction form
    185,821/280,473 = 280,473/x
  3. Step 3: Cross multiply
    185,821x = 280,473 × 280,473
  4. Step 4: Simplify right side
    185,821x = 78,665,103,729
  5. Step 5: Solve for x
    x = 78,665,103,729/185,821
  6. Step 6: Final answer
    x = 423,338.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.