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Finding the Third Proportional to 132,800 and 287,740

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Solution

The third proportional to 132,800 and 287,740 is: 623,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,800 : 287,740 = 287,740 : x
  2. Step 2: Convert to fraction form
    132,800/287,740 = 287,740/x
  3. Step 3: Cross multiply
    132,800x = 287,740 × 287,740
  4. Step 4: Simplify right side
    132,800x = 82,794,307,600
  5. Step 5: Solve for x
    x = 82,794,307,600/132,800
  6. Step 6: Final answer
    x = 623,451.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.