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Finding the Third Proportional to 179,972 and 279,392

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Solution

The third proportional to 179,972 and 279,392 is: 433,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,972 : 279,392 = 279,392 : x
  2. Step 2: Convert to fraction form
    179,972/279,392 = 279,392/x
  3. Step 3: Cross multiply
    179,972x = 279,392 × 279,392
  4. Step 4: Simplify right side
    179,972x = 78,059,889,664
  5. Step 5: Solve for x
    x = 78,059,889,664/179,972
  6. Step 6: Final answer
    x = 433,733.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.