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Finding the Third Proportional to 122,616 and 268,200

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Solution

The third proportional to 122,616 and 268,200 is: 586,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,616 : 268,200 = 268,200 : x
  2. Step 2: Convert to fraction form
    122,616/268,200 = 268,200/x
  3. Step 3: Cross multiply
    122,616x = 268,200 × 268,200
  4. Step 4: Simplify right side
    122,616x = 71,931,240,000
  5. Step 5: Solve for x
    x = 71,931,240,000/122,616
  6. Step 6: Final answer
    x = 586,638.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.