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Finding the Third Proportional to 161,821 and 251,252

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Solution

The third proportional to 161,821 and 251,252 is: 390,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,821 : 251,252 = 251,252 : x
  2. Step 2: Convert to fraction form
    161,821/251,252 = 251,252/x
  3. Step 3: Cross multiply
    161,821x = 251,252 × 251,252
  4. Step 4: Simplify right side
    161,821x = 63,127,567,504
  5. Step 5: Solve for x
    x = 63,127,567,504/161,821
  6. Step 6: Final answer
    x = 390,107.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.