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Finding the Third Proportional to 179,079 and 279,513

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Solution

The third proportional to 179,079 and 279,513 is: 436,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,079 : 279,513 = 279,513 : x
  2. Step 2: Convert to fraction form
    179,079/279,513 = 279,513/x
  3. Step 3: Cross multiply
    179,079x = 279,513 × 279,513
  4. Step 4: Simplify right side
    179,079x = 78,127,517,169
  5. Step 5: Solve for x
    x = 78,127,517,169/179,079
  6. Step 6: Final answer
    x = 436,274.03

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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.