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Finding the Third Proportional to 129,564 and 206,064

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Solution

The third proportional to 129,564 and 206,064 is: 327,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,564 : 206,064 = 206,064 : x
  2. Step 2: Convert to fraction form
    129,564/206,064 = 206,064/x
  3. Step 3: Cross multiply
    129,564x = 206,064 × 206,064
  4. Step 4: Simplify right side
    129,564x = 42,462,372,096
  5. Step 5: Solve for x
    x = 42,462,372,096/129,564
  6. Step 6: Final answer
    x = 327,732.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.