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Finding the Third Proportional to 38,401 and 78,716

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Solution

The third proportional to 38,401 and 78,716 is: 161,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401 : 78,716 = 78,716 : x
  2. Step 2: Convert to fraction form
    38,401/78,716 = 78,716/x
  3. Step 3: Cross multiply
    38,401x = 78,716 × 78,716
  4. Step 4: Simplify right side
    38,401x = 6,196,208,656
  5. Step 5: Solve for x
    x = 6,196,208,656/38,401
  6. Step 6: Final answer
    x = 161,355.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.