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Finding the Third Proportional to 512,504 and 561,698

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Solution

The third proportional to 512,504 and 561,698 is: 615,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,504 : 561,698 = 561,698 : x
  2. Step 2: Convert to fraction form
    512,504/561,698 = 561,698/x
  3. Step 3: Cross multiply
    512,504x = 561,698 × 561,698
  4. Step 4: Simplify right side
    512,504x = 315,504,643,204
  5. Step 5: Solve for x
    x = 315,504,643,204/512,504
  6. Step 6: Final answer
    x = 615,614.01

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.