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Finding the Third Proportional to 344,683 and 517,389

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Solution

The third proportional to 344,683 and 517,389 is: 776,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,683 : 517,389 = 517,389 : x
  2. Step 2: Convert to fraction form
    344,683/517,389 = 517,389/x
  3. Step 3: Cross multiply
    344,683x = 517,389 × 517,389
  4. Step 4: Simplify right side
    344,683x = 267,691,377,321
  5. Step 5: Solve for x
    x = 267,691,377,321/344,683
  6. Step 6: Final answer
    x = 776,630.64

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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.