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Finding the Third Proportional to 161,709 and 254,444

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Solution

The third proportional to 161,709 and 254,444 is: 400,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709 : 254,444 = 254,444 : x
  2. Step 2: Convert to fraction form
    161,709/254,444 = 254,444/x
  3. Step 3: Cross multiply
    161,709x = 254,444 × 254,444
  4. Step 4: Simplify right side
    161,709x = 64,741,749,136
  5. Step 5: Solve for x
    x = 64,741,749,136/161,709
  6. Step 6: Final answer
    x = 400,359.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.