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Finding the Third Proportional to 279,081 and 610,326

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Solution

The third proportional to 279,081 and 610,326 is: 1,334,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,081 : 610,326 = 610,326 : x
  2. Step 2: Convert to fraction form
    279,081/610,326 = 610,326/x
  3. Step 3: Cross multiply
    279,081x = 610,326 × 610,326
  4. Step 4: Simplify right side
    279,081x = 372,497,826,276
  5. Step 5: Solve for x
    x = 372,497,826,276/279,081
  6. Step 6: Final answer
    x = 1,334,730.15

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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.