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Finding the Third Proportional to 209,726 and 319,123

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Solution

The third proportional to 209,726 and 319,123 is: 485,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,726 : 319,123 = 319,123 : x
  2. Step 2: Convert to fraction form
    209,726/319,123 = 319,123/x
  3. Step 3: Cross multiply
    209,726x = 319,123 × 319,123
  4. Step 4: Simplify right side
    209,726x = 101,839,489,129
  5. Step 5: Solve for x
    x = 101,839,489,129/209,726
  6. Step 6: Final answer
    x = 485,583.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.