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Finding the Third Proportional to 179,969 and 279,386

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Solution

The third proportional to 179,969 and 279,386 is: 433,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,969 : 279,386 = 279,386 : x
  2. Step 2: Convert to fraction form
    179,969/279,386 = 279,386/x
  3. Step 3: Cross multiply
    179,969x = 279,386 × 279,386
  4. Step 4: Simplify right side
    179,969x = 78,056,536,996
  5. Step 5: Solve for x
    x = 78,056,536,996/179,969
  6. Step 6: Final answer
    x = 433,722.12

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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.