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Finding the Third Proportional to 116,419 and 178,011

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Solution

The third proportional to 116,419 and 178,011 is: 272,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,419 : 178,011 = 178,011 : x
  2. Step 2: Convert to fraction form
    116,419/178,011 = 178,011/x
  3. Step 3: Cross multiply
    116,419x = 178,011 × 178,011
  4. Step 4: Simplify right side
    116,419x = 31,687,916,121
  5. Step 5: Solve for x
    x = 31,687,916,121/116,419
  6. Step 6: Final answer
    x = 272,188.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.