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Finding the Third Proportional to 179,984 and 257,212

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Solution

The third proportional to 179,984 and 257,212 is: 367,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,984 : 257,212 = 257,212 : x
  2. Step 2: Convert to fraction form
    179,984/257,212 = 257,212/x
  3. Step 3: Cross multiply
    179,984x = 257,212 × 257,212
  4. Step 4: Simplify right side
    179,984x = 66,158,012,944
  5. Step 5: Solve for x
    x = 66,158,012,944/179,984
  6. Step 6: Final answer
    x = 367,577.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.