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Finding the Third Proportional to 136,424 and 321,591

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Solution

The third proportional to 136,424 and 321,591 is: 758,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,424 : 321,591 = 321,591 : x
  2. Step 2: Convert to fraction form
    136,424/321,591 = 321,591/x
  3. Step 3: Cross multiply
    136,424x = 321,591 × 321,591
  4. Step 4: Simplify right side
    136,424x = 103,420,771,281
  5. Step 5: Solve for x
    x = 103,420,771,281/136,424
  6. Step 6: Final answer
    x = 758,083.41

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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.