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Finding the Third Proportional to 169,017 and 259,815

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Solution

The third proportional to 169,017 and 259,815 is: 399,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,017 : 259,815 = 259,815 : x
  2. Step 2: Convert to fraction form
    169,017/259,815 = 259,815/x
  3. Step 3: Cross multiply
    169,017x = 259,815 × 259,815
  4. Step 4: Simplify right side
    169,017x = 67,503,834,225
  5. Step 5: Solve for x
    x = 67,503,834,225/169,017
  6. Step 6: Final answer
    x = 399,390.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.