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Finding the Third Proportional to 76,617 and 178,043

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Solution

The third proportional to 76,617 and 178,043 is: 413,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,617 : 178,043 = 178,043 : x
  2. Step 2: Convert to fraction form
    76,617/178,043 = 178,043/x
  3. Step 3: Cross multiply
    76,617x = 178,043 × 178,043
  4. Step 4: Simplify right side
    76,617x = 31,699,309,849
  5. Step 5: Solve for x
    x = 31,699,309,849/76,617
  6. Step 6: Final answer
    x = 413,737.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.