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Finding the Third Proportional to 261,322 and 368,009

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Solution

The third proportional to 261,322 and 368,009 is: 518,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,322 : 368,009 = 368,009 : x
  2. Step 2: Convert to fraction form
    261,322/368,009 = 368,009/x
  3. Step 3: Cross multiply
    261,322x = 368,009 × 368,009
  4. Step 4: Simplify right side
    261,322x = 135,430,624,081
  5. Step 5: Solve for x
    x = 135,430,624,081/261,322
  6. Step 6: Final answer
    x = 518,251.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.