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Finding the Third Proportional to 286,032 and 388,467

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Solution

The third proportional to 286,032 and 388,467 is: 527,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,032 : 388,467 = 388,467 : x
  2. Step 2: Convert to fraction form
    286,032/388,467 = 388,467/x
  3. Step 3: Cross multiply
    286,032x = 388,467 × 388,467
  4. Step 4: Simplify right side
    286,032x = 150,906,610,089
  5. Step 5: Solve for x
    x = 150,906,610,089/286,032
  6. Step 6: Final answer
    x = 527,586.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.