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Finding the Third Proportional to 259,179 and 423,219

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Solution

The third proportional to 259,179 and 423,219 is: 691,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,179 : 423,219 = 423,219 : x
  2. Step 2: Convert to fraction form
    259,179/423,219 = 423,219/x
  3. Step 3: Cross multiply
    259,179x = 423,219 × 423,219
  4. Step 4: Simplify right side
    259,179x = 179,114,321,961
  5. Step 5: Solve for x
    x = 179,114,321,961/259,179
  6. Step 6: Final answer
    x = 691,083.47

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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.