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Finding the Third Proportional to 161,823 and 253,293

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Solution

The third proportional to 161,823 and 253,293 is: 396,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,823 : 253,293 = 253,293 : x
  2. Step 2: Convert to fraction form
    161,823/253,293 = 253,293/x
  3. Step 3: Cross multiply
    161,823x = 253,293 × 253,293
  4. Step 4: Simplify right side
    161,823x = 64,157,343,849
  5. Step 5: Solve for x
    x = 64,157,343,849/161,823
  6. Step 6: Final answer
    x = 396,466.16

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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.