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Finding the Third Proportional to 122,358 and 178,203

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Solution

The third proportional to 122,358 and 178,203 is: 259,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,358 : 178,203 = 178,203 : x
  2. Step 2: Convert to fraction form
    122,358/178,203 = 178,203/x
  3. Step 3: Cross multiply
    122,358x = 178,203 × 178,203
  4. Step 4: Simplify right side
    122,358x = 31,756,309,209
  5. Step 5: Solve for x
    x = 31,756,309,209/122,358
  6. Step 6: Final answer
    x = 259,536.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.