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Finding the Third Proportional to 112,640 and 238,220

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Solution

The third proportional to 112,640 and 238,220 is: 503,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,640 : 238,220 = 238,220 : x
  2. Step 2: Convert to fraction form
    112,640/238,220 = 238,220/x
  3. Step 3: Cross multiply
    112,640x = 238,220 × 238,220
  4. Step 4: Simplify right side
    112,640x = 56,748,768,400
  5. Step 5: Solve for x
    x = 56,748,768,400/112,640
  6. Step 6: Final answer
    x = 503,806.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.