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Finding the Third Proportional to 280,270 and 423,322

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Solution

The third proportional to 280,270 and 423,322 is: 639,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,270 : 423,322 = 423,322 : x
  2. Step 2: Convert to fraction form
    280,270/423,322 = 423,322/x
  3. Step 3: Cross multiply
    280,270x = 423,322 × 423,322
  4. Step 4: Simplify right side
    280,270x = 179,201,515,684
  5. Step 5: Solve for x
    x = 179,201,515,684/280,270
  6. Step 6: Final answer
    x = 639,388.86

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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.