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Finding the Third Proportional to 132,739 and 288,805

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Solution

The third proportional to 132,739 and 288,805 is: 628,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,739 : 288,805 = 288,805 : x
  2. Step 2: Convert to fraction form
    132,739/288,805 = 288,805/x
  3. Step 3: Cross multiply
    132,739x = 288,805 × 288,805
  4. Step 4: Simplify right side
    132,739x = 83,408,328,025
  5. Step 5: Solve for x
    x = 83,408,328,025/132,739
  6. Step 6: Final answer
    x = 628,363.39

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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.