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Finding the Third Proportional to 259,174 and 423,210

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Solution

The third proportional to 259,174 and 423,210 is: 691,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,174 : 423,210 = 423,210 : x
  2. Step 2: Convert to fraction form
    259,174/423,210 = 423,210/x
  3. Step 3: Cross multiply
    259,174x = 423,210 × 423,210
  4. Step 4: Simplify right side
    259,174x = 179,106,704,100
  5. Step 5: Solve for x
    x = 179,106,704,100/259,174
  6. Step 6: Final answer
    x = 691,067.41

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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.