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Finding the Third Proportional to 112,542 and 178,210

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Solution

The third proportional to 112,542 and 178,210 is: 282,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,542 : 178,210 = 178,210 : x
  2. Step 2: Convert to fraction form
    112,542/178,210 = 178,210/x
  3. Step 3: Cross multiply
    112,542x = 178,210 × 178,210
  4. Step 4: Simplify right side
    112,542x = 31,758,804,100
  5. Step 5: Solve for x
    x = 31,758,804,100/112,542
  6. Step 6: Final answer
    x = 282,195.13

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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.