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Finding the Third Proportional to 149,409 and 323,710

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Solution

The third proportional to 149,409 and 323,710 is: 701,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,409 : 323,710 = 323,710 : x
  2. Step 2: Convert to fraction form
    149,409/323,710 = 323,710/x
  3. Step 3: Cross multiply
    149,409x = 323,710 × 323,710
  4. Step 4: Simplify right side
    149,409x = 104,788,164,100
  5. Step 5: Solve for x
    x = 104,788,164,100/149,409
  6. Step 6: Final answer
    x = 701,351.08

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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.