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Finding the Third Proportional to 161,729 and 231,582

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Solution

The third proportional to 161,729 and 231,582 is: 331,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,729 : 231,582 = 231,582 : x
  2. Step 2: Convert to fraction form
    161,729/231,582 = 231,582/x
  3. Step 3: Cross multiply
    161,729x = 231,582 × 231,582
  4. Step 4: Simplify right side
    161,729x = 53,630,222,724
  5. Step 5: Solve for x
    x = 53,630,222,724/161,729
  6. Step 6: Final answer
    x = 331,605.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.