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Finding the Third Proportional to 127,615 and 279,770

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Solution

The third proportional to 127,615 and 279,770 is: 613,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,615 : 279,770 = 279,770 : x
  2. Step 2: Convert to fraction form
    127,615/279,770 = 279,770/x
  3. Step 3: Cross multiply
    127,615x = 279,770 × 279,770
  4. Step 4: Simplify right side
    127,615x = 78,271,252,900
  5. Step 5: Solve for x
    x = 78,271,252,900/127,615
  6. Step 6: Final answer
    x = 613,338.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.