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Finding the Third Proportional to 112,578 and 178,263

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Solution

The third proportional to 112,578 and 178,263 is: 282,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,578 : 178,263 = 178,263 : x
  2. Step 2: Convert to fraction form
    112,578/178,263 = 178,263/x
  3. Step 3: Cross multiply
    112,578x = 178,263 × 178,263
  4. Step 4: Simplify right side
    112,578x = 31,777,697,169
  5. Step 5: Solve for x
    x = 31,777,697,169/112,578
  6. Step 6: Final answer
    x = 282,272.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.