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Finding the Third Proportional to 118,617 and 178,413

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Solution

The third proportional to 118,617 and 178,413 is: 268,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,617 : 178,413 = 178,413 : x
  2. Step 2: Convert to fraction form
    118,617/178,413 = 178,413/x
  3. Step 3: Cross multiply
    118,617x = 178,413 × 178,413
  4. Step 4: Simplify right side
    118,617x = 31,831,198,569
  5. Step 5: Solve for x
    x = 31,831,198,569/118,617
  6. Step 6: Final answer
    x = 268,352.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.