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Finding the Third Proportional to 74,401 and 115,239

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Solution

The third proportional to 74,401 and 115,239 is: 178,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,401 : 115,239 = 115,239 : x
  2. Step 2: Convert to fraction form
    74,401/115,239 = 115,239/x
  3. Step 3: Cross multiply
    74,401x = 115,239 × 115,239
  4. Step 4: Simplify right side
    74,401x = 13,280,027,121
  5. Step 5: Solve for x
    x = 13,280,027,121/74,401
  6. Step 6: Final answer
    x = 178,492.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.