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Finding the Third Proportional to 132,306 and 288,372

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Solution

The third proportional to 132,306 and 288,372 is: 628,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,306 : 288,372 = 288,372 : x
  2. Step 2: Convert to fraction form
    132,306/288,372 = 288,372/x
  3. Step 3: Cross multiply
    132,306x = 288,372 × 288,372
  4. Step 4: Simplify right side
    132,306x = 83,158,410,384
  5. Step 5: Solve for x
    x = 83,158,410,384/132,306
  6. Step 6: Final answer
    x = 628,530.91

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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.