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Finding the Third Proportional to 117,409 and 178,358

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Solution

The third proportional to 117,409 and 178,358 is: 270,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,409 : 178,358 = 178,358 : x
  2. Step 2: Convert to fraction form
    117,409/178,358 = 178,358/x
  3. Step 3: Cross multiply
    117,409x = 178,358 × 178,358
  4. Step 4: Simplify right side
    117,409x = 31,811,576,164
  5. Step 5: Solve for x
    x = 31,811,576,164/117,409
  6. Step 6: Final answer
    x = 270,946.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.