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Finding the Third Proportional to 132,846 and 287,400

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Solution

The third proportional to 132,846 and 287,400 is: 621,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,846 : 287,400 = 287,400 : x
  2. Step 2: Convert to fraction form
    132,846/287,400 = 287,400/x
  3. Step 3: Cross multiply
    132,846x = 287,400 × 287,400
  4. Step 4: Simplify right side
    132,846x = 82,598,760,000
  5. Step 5: Solve for x
    x = 82,598,760,000/132,846
  6. Step 6: Final answer
    x = 621,763.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.