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Finding the Third Proportional to 279,046 and 611,174

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Solution

The third proportional to 279,046 and 611,174 is: 1,338,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,046 : 611,174 = 611,174 : x
  2. Step 2: Convert to fraction form
    279,046/611,174 = 611,174/x
  3. Step 3: Cross multiply
    279,046x = 611,174 × 611,174
  4. Step 4: Simplify right side
    279,046x = 373,533,658,276
  5. Step 5: Solve for x
    x = 373,533,658,276/279,046
  6. Step 6: Final answer
    x = 1,338,609.61

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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.