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Finding the Third Proportional to 368,288 and 557,413

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Solution

The third proportional to 368,288 and 557,413 is: 843,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,288 : 557,413 = 557,413 : x
  2. Step 2: Convert to fraction form
    368,288/557,413 = 557,413/x
  3. Step 3: Cross multiply
    368,288x = 557,413 × 557,413
  4. Step 4: Simplify right side
    368,288x = 310,709,252,569
  5. Step 5: Solve for x
    x = 310,709,252,569/368,288
  6. Step 6: Final answer
    x = 843,658.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.