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Finding the Third Proportional to 259,289 and 423,392

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Solution

The third proportional to 259,289 and 423,392 is: 691,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,289 : 423,392 = 423,392 : x
  2. Step 2: Convert to fraction form
    259,289/423,392 = 423,392/x
  3. Step 3: Cross multiply
    259,289x = 423,392 × 423,392
  4. Step 4: Simplify right side
    259,289x = 179,260,785,664
  5. Step 5: Solve for x
    x = 179,260,785,664/259,289
  6. Step 6: Final answer
    x = 691,355.15

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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.