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Finding the Third Proportional to 132,338 and 288,470

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Solution

The third proportional to 132,338 and 288,470 is: 628,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,338 : 288,470 = 288,470 : x
  2. Step 2: Convert to fraction form
    132,338/288,470 = 288,470/x
  3. Step 3: Cross multiply
    132,338x = 288,470 × 288,470
  4. Step 4: Simplify right side
    132,338x = 83,214,940,900
  5. Step 5: Solve for x
    x = 83,214,940,900/132,338
  6. Step 6: Final answer
    x = 628,806.09

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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.