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Finding the Third Proportional to 344,679 and 517,383

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Solution

The third proportional to 344,679 and 517,383 is: 776,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,679 : 517,383 = 517,383 : x
  2. Step 2: Convert to fraction form
    344,679/517,383 = 517,383/x
  3. Step 3: Cross multiply
    344,679x = 517,383 × 517,383
  4. Step 4: Simplify right side
    344,679x = 267,685,168,689
  5. Step 5: Solve for x
    x = 267,685,168,689/344,679
  6. Step 6: Final answer
    x = 776,621.64

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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.