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Finding the Third Proportional to 312,683 and 517,519

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Solution

The third proportional to 312,683 and 517,519 is: 856,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,683 : 517,519 = 517,519 : x
  2. Step 2: Convert to fraction form
    312,683/517,519 = 517,519/x
  3. Step 3: Cross multiply
    312,683x = 517,519 × 517,519
  4. Step 4: Simplify right side
    312,683x = 267,825,915,361
  5. Step 5: Solve for x
    x = 267,825,915,361/312,683
  6. Step 6: Final answer
    x = 856,541.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.