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Finding the Third Proportional to 161,082 and 247,212

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Solution

The third proportional to 161,082 and 247,212 is: 379,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,082 : 247,212 = 247,212 : x
  2. Step 2: Convert to fraction form
    161,082/247,212 = 247,212/x
  3. Step 3: Cross multiply
    161,082x = 247,212 × 247,212
  4. Step 4: Simplify right side
    161,082x = 61,113,772,944
  5. Step 5: Solve for x
    x = 61,113,772,944/161,082
  6. Step 6: Final answer
    x = 379,395.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.