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Finding the Third Proportional to 259,272 and 423,366

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Solution

The third proportional to 259,272 and 423,366 is: 691,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,272 : 423,366 = 423,366 : x
  2. Step 2: Convert to fraction form
    259,272/423,366 = 423,366/x
  3. Step 3: Cross multiply
    259,272x = 423,366 × 423,366
  4. Step 4: Simplify right side
    259,272x = 179,238,769,956
  5. Step 5: Solve for x
    x = 179,238,769,956/259,272
  6. Step 6: Final answer
    x = 691,315.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.