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Finding the Third Proportional to 291,504 and 607,872

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Solution

The third proportional to 291,504 and 607,872 is: 1,267,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,504 : 607,872 = 607,872 : x
  2. Step 2: Convert to fraction form
    291,504/607,872 = 607,872/x
  3. Step 3: Cross multiply
    291,504x = 607,872 × 607,872
  4. Step 4: Simplify right side
    291,504x = 369,508,368,384
  5. Step 5: Solve for x
    x = 369,508,368,384/291,504
  6. Step 6: Final answer
    x = 1,267,592.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.