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Finding the Third Proportional to 161,807 and 253,272

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Solution

The third proportional to 161,807 and 253,272 is: 396,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807 : 253,272 = 253,272 : x
  2. Step 2: Convert to fraction form
    161,807/253,272 = 253,272/x
  3. Step 3: Cross multiply
    161,807x = 253,272 × 253,272
  4. Step 4: Simplify right side
    161,807x = 64,146,705,984
  5. Step 5: Solve for x
    x = 64,146,705,984/161,807
  6. Step 6: Final answer
    x = 396,439.62

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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.