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Finding the Third Proportional to 132,856 and 289,039

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Solution

The third proportional to 132,856 and 289,039 is: 628,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,856 : 289,039 = 289,039 : x
  2. Step 2: Convert to fraction form
    132,856/289,039 = 289,039/x
  3. Step 3: Cross multiply
    132,856x = 289,039 × 289,039
  4. Step 4: Simplify right side
    132,856x = 83,543,543,521
  5. Step 5: Solve for x
    x = 83,543,543,521/132,856
  6. Step 6: Final answer
    x = 628,827.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.