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Finding the Third Proportional to 148,811 and 351,221

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Solution

The third proportional to 148,811 and 351,221 is: 828,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,811 : 351,221 = 351,221 : x
  2. Step 2: Convert to fraction form
    148,811/351,221 = 351,221/x
  3. Step 3: Cross multiply
    148,811x = 351,221 × 351,221
  4. Step 4: Simplify right side
    148,811x = 123,356,190,841
  5. Step 5: Solve for x
    x = 123,356,190,841/148,811
  6. Step 6: Final answer
    x = 828,945.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.