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Finding the Third Proportional to 161,709 and 231,560

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Solution

The third proportional to 161,709 and 231,560 is: 331,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709 : 231,560 = 231,560 : x
  2. Step 2: Convert to fraction form
    161,709/231,560 = 231,560/x
  3. Step 3: Cross multiply
    161,709x = 231,560 × 231,560
  4. Step 4: Simplify right side
    161,709x = 53,620,033,600
  5. Step 5: Solve for x
    x = 53,620,033,600/161,709
  6. Step 6: Final answer
    x = 331,583.48

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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.