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Finding the Third Proportional to 76,938 and 173,633

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Solution

The third proportional to 76,938 and 173,633 is: 391,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938 : 173,633 = 173,633 : x
  2. Step 2: Convert to fraction form
    76,938/173,633 = 173,633/x
  3. Step 3: Cross multiply
    76,938x = 173,633 × 173,633
  4. Step 4: Simplify right side
    76,938x = 30,148,418,689
  5. Step 5: Solve for x
    x = 30,148,418,689/76,938
  6. Step 6: Final answer
    x = 391,853.42

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.