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Finding the Third Proportional to 173,720 and 377,329

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Solution

The third proportional to 173,720 and 377,329 is: 819,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,720 : 377,329 = 377,329 : x
  2. Step 2: Convert to fraction form
    173,720/377,329 = 377,329/x
  3. Step 3: Cross multiply
    173,720x = 377,329 × 377,329
  4. Step 4: Simplify right side
    173,720x = 142,377,174,241
  5. Step 5: Solve for x
    x = 142,377,174,241/173,720
  6. Step 6: Final answer
    x = 819,578.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.