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Finding the Third Proportional to 112,756 and 178,409

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Solution

The third proportional to 112,756 and 178,409 is: 282,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,756 : 178,409 = 178,409 : x
  2. Step 2: Convert to fraction form
    112,756/178,409 = 178,409/x
  3. Step 3: Cross multiply
    112,756x = 178,409 × 178,409
  4. Step 4: Simplify right side
    112,756x = 31,829,771,281
  5. Step 5: Solve for x
    x = 31,829,771,281/112,756
  6. Step 6: Final answer
    x = 282,288.94

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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.