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Finding the Third Proportional to 113,658 and 178,295

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Solution

The third proportional to 113,658 and 178,295 is: 279,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,658 : 178,295 = 178,295 : x
  2. Step 2: Convert to fraction form
    113,658/178,295 = 178,295/x
  3. Step 3: Cross multiply
    113,658x = 178,295 × 178,295
  4. Step 4: Simplify right side
    113,658x = 31,789,107,025
  5. Step 5: Solve for x
    x = 31,789,107,025/113,658
  6. Step 6: Final answer
    x = 279,690.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.