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Finding the Third Proportional to 344,680 and 517,384

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Solution

The third proportional to 344,680 and 517,384 is: 776,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,680 : 517,384 = 517,384 : x
  2. Step 2: Convert to fraction form
    344,680/517,384 = 517,384/x
  3. Step 3: Cross multiply
    344,680x = 517,384 × 517,384
  4. Step 4: Simplify right side
    344,680x = 267,686,203,456
  5. Step 5: Solve for x
    x = 267,686,203,456/344,680
  6. Step 6: Final answer
    x = 776,622.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.