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Finding the Third Proportional to 161,809 and 253,275

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Solution

The third proportional to 161,809 and 253,275 is: 396,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,809 : 253,275 = 253,275 : x
  2. Step 2: Convert to fraction form
    161,809/253,275 = 253,275/x
  3. Step 3: Cross multiply
    161,809x = 253,275 × 253,275
  4. Step 4: Simplify right side
    161,809x = 64,148,225,625
  5. Step 5: Solve for x
    x = 64,148,225,625/161,809
  6. Step 6: Final answer
    x = 396,444.11

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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.