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Finding the Third Proportional to 129,021 and 189,729

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Solution

The third proportional to 129,021 and 189,729 is: 279,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,021 : 189,729 = 189,729 : x
  2. Step 2: Convert to fraction form
    129,021/189,729 = 189,729/x
  3. Step 3: Cross multiply
    129,021x = 189,729 × 189,729
  4. Step 4: Simplify right side
    129,021x = 35,997,093,441
  5. Step 5: Solve for x
    x = 35,997,093,441/129,021
  6. Step 6: Final answer
    x = 279,001.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.