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Finding the Third Proportional to 161,445 and 251,979

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Solution

The third proportional to 161,445 and 251,979 is: 393,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,445 : 251,979 = 251,979 : x
  2. Step 2: Convert to fraction form
    161,445/251,979 = 251,979/x
  3. Step 3: Cross multiply
    161,445x = 251,979 × 251,979
  4. Step 4: Simplify right side
    161,445x = 63,493,416,441
  5. Step 5: Solve for x
    x = 63,493,416,441/161,445
  6. Step 6: Final answer
    x = 393,282.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.