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Finding the Third Proportional to 371,576 and 517,019

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Solution

The third proportional to 371,576 and 517,019 is: 719,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,576 : 517,019 = 517,019 : x
  2. Step 2: Convert to fraction form
    371,576/517,019 = 517,019/x
  3. Step 3: Cross multiply
    371,576x = 517,019 × 517,019
  4. Step 4: Simplify right side
    371,576x = 267,308,646,361
  5. Step 5: Solve for x
    x = 267,308,646,361/371,576
  6. Step 6: Final answer
    x = 719,391.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.